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.
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?
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.
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?
Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
In October, the ratio of boys and girls in a school's rifle club was 4 : 7. In November, 68 new members joined the club. As a result, the ratio of boys to girls in the club became 4 : 3. There were 64 boys in the club in October. How many of the new members were girls?
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
Level 3
Shiyun, Kimberly and Yoko had jelly beans in the ratio of 8 : 4 : 3. After Shiyun gave 6 jelly beans to Kimberly and Yoko, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
