361 P5.RD.NK.22122916
Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
  1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
  2. How many erasers did Will have in the end?
4 m
Fraction to units Finding ratio R Simplest form Times as many Equal stage after Repeated identity Internal transfer Unchanged total Units table
362 P6.RA.TL.16010132
Level 3
The ratio of the number of scones to the number of muffins in a bakery was 2 : 3. After 4 scones and 8 muffins were packed into each box, there were a total of 7 scones and 1 muffin left. Find the total number of scones and muffins in the bakery at first.
4 m
Ratio to units All change Units table Units & parts Elimination
363 P6.RD.TL.16010137
Level 3
Fred's father is 7 times as old as his son. His father will be 35 years old in 7 years' time. In how many years' time will Fred be 60% that of his father?
4 m
Percent to units Times as many Unchanged difference Units table
364 P5.RA.JC.17083240
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
4 m
Ratio to units Equal stage after Unchanged quantity Units equations Units table
365 P6.FR.TL.16010101
Level 3
At a zoo, there were 35 as many adults as children at first. After 46 adults left, there were 116 more children than adults remaining at a zoo. How many adults were at the zoo at first?
3 m
Fraction to units More than or less than Unchanged quantity Units equations Model & units table
366 P6.RD.TL.16010139
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
4 m
Fraction to units Percent to units Unchanged difference More than or less than Units table Units & parts
367 P6.RA.TL.16010127
Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
4 m
Finding ratio Times as many Equal stage after All change Units table
368 P5.RD.JM.17083302
Level 3
Titus bought some custard and apple pastry puffs in the ratio of 7 : 6. After Titus's classmates ate an equal number of the two types of pastry puffs, there were 35% fewer apple than custard pastry puffs. In the end, there were 165 pastry puffs left. How many pastry puffs of each type were eaten?
4 m
Ratio to units Percent to units More than or less than Equal stage Unchanged difference Units table
369 P5.ST.JC.18121164
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are added, 70% of the stickers will be red stickers.
If 200 blue stickers are added, 40% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations
370 P6.RA.TL.16010117
Level 3
Betty had an equal number of $2 and $10 notes. After spending 43 pieces of $10 and 19 pieces of $2 notes, the ratio of the $2 notes to $10 notes left was 5 : 1. Find the value of the notes left.
4 m
Ratio to units Money Equal stage before All change Units equations Units table
371 P5.PC.JC.17083122
Level 3
Jane's savings is 20% more than Darwin's savings. If Jane's savings is decreased by 20%, their total savings will be $980. How much is Jane's savings?
3 m
Percent change by Percent of different bases Money More than or less than Unchanged quantity Units table Decimal units
372 P5.ST.JC.18121165
Level 3
Adam has some blue stickers and red stickers.
If 50 blue stickers are removed, 40% of the stickers will be red stickers.
If 200 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations
373 P6.RA.TL.16010118
Level 3
Fiona had an equal number of $5 and $10 notes. After spending 40 pieces of $10 and 16 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 4 : 1. Find the value of the notes at first.
4 m
Ratio to units Money Equal stage before All change Units equations Units table
374 P5.RA.JC.17083266
Level 3
At first, Xandy, Yoko and Zach had some sweets in the ratio 5 : 3 : 4 respectively. Xandy had 190 sweets. Then he gave all his sweets to Yoko and Zach. After receiving the sweets from Xandy, Yoko and Zach had the same number of sweets. How many sweets did Yoko receive from Xandy?
4 m
Ratio to units Equal stage after Internal transfer Unchanged total Units table
375 P5.ST.JC.18121166
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are added, 40% of the stickers will be red stickers.
If 50 blue stickers are removed, 70% of the stickers will be red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units Unchanged quantity Double if Units table Units equations
376 P6.FR.JC.17052904
Level 3
3 sisters, Tammy, Hazel and Yoko, paid a total of $168 for a gift. Tammy paid 14 of what the rest paid. Hazel paid 16 of what the rest paid. How much did Yoko pay?
3 m
Fraction to units Money Unchanged total Units table
377 P5.RA.JC.17083253
Level 3
Container A and Container B had some liquid in the ratio 7 : 5. After 48 litres of liquid was transferred from A to B, the amount of liquid in Container B became 3 times as much as in Container A. How much liquid were there in the two tanks in all?
4 m
Ratio to units Volume Times as many Internal transfer Unchanged total Units table
378 P5.ST.JC.18121168
Level 3
Adam has some blue stickers and red stickers.
If Adam receives another 60 blue stickers,
the blue stickers will be 80% as many as the red stickers.
If Adam receives another 300 red stickers,
the blue stickers will be 20% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent to units Unchanged quantity Double if Units table Units & parts Substitution
379 P5.DA.NK.23052623
TRY FOR FREE
Level 3
The average height of a group of 6 girls is 137 cm. When Kathy and Nicole joined the group, the average height increased by 4 cm. What is Kathy and Nicole's total height?
3 m
Attempt
Averaging out 2 Averages Length Number x value Units table
380 P6.RD.TL.16010197
Level 3
Jane and Wendy had equal amount of money. Each day, Jane spent $4 and Wendy spent $5. When Jane had $60 left, Wendy had 45 as much money left as Jane. How much money did the two girls have at first?
4 m
Fraction to units Money Equal stage before All change Units equations Units table

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