Question:

Level 3

A store owner has 130 more oranges than soursops. After he sold 80% of the oranges and 30% of the soursops, he is left 19 more soursops than oranges. What fraction of the fruits left were soursops?

5 m
A store owner has 130 more oranges than soursops. After he sold 80% of the oranges and 30% of the soursops, he is left 19 more soursops than oranges. What fraction of the fruits left were soursops?

Level 3

In a contest, two people will have to answer 100 questions each. They score 1 point for each correct answer. The contest has not ended yet. Each person has already answered 90 questions. Person A has answered 60% of the first 90 questions correctly. Person B has answered 50% of the first 90 questions correctly. What is the minimum number of points that Person A must get from the last 10 questions to win the contest?

4 m
In a contest, two people will have to answer 100 questions each. They score 1 point for each correct answer. The contest has not ended yet. Each person has already answered 90 questions. Person A has answered 60% of the first 90 questions correctly. Person B has answered 50% of the first 90 questions correctly. What is the minimum number of points that Person A must get from the last 10 questions to win the contest?

Level 3

A basket contained violet and purple buttons. There were 60% more violet buttons than purple buttons. When 248 more buttons were poured into the basket, the amount of violet buttons increased by 40% and the amount of purple buttons grew by 60%. How many buttons were in the basket at first?

4 m
A basket contained violet and purple buttons. There were 60% more violet buttons than purple buttons. When 248 more buttons were poured into the basket, the amount of violet buttons increased by 40% and the amount of purple buttons grew by 60%. How many buttons were in the basket at first?

Level 3

Ethan and Ian share a sum of money. Ethan receives $2400. If Ethan gets $105 less, the amount of money Ian gets will increase by 35%. Find the sum of money that the boys share.

3 m
Ethan and Ian share a sum of money. Ethan receives $2400. If Ethan gets $105 less, the amount of money Ian gets will increase by 35%. Find the sum of money that the boys share.

Level 3

A store owner had 505 kg of fresh honeydews. The honeydews contained 60% water when fresh. One week later, there was only 50% water left in the honeydews. What was the mass of the honeydews one week later?

3 m
A store owner had 505 kg of fresh honeydews. The honeydews contained 60% water when fresh. One week later, there was only 50% water left in the honeydews. What was the mass of the honeydews one week later?

Level 3

In a box, there are some mangosteens and lemons. If 80 more lemons are put into the box, the percentage of mangosteens will decrease from 70% to 30%. How many mangosteens are there in the box?

3 m
In a box, there are some mangosteens and lemons. If 80 more lemons are put into the box, the percentage of mangosteens will decrease from 70% to 30%. How many mangosteens are there in the box?

Level 3

Some adult passengers are on a coach. If 25 tourists alight from the coach, the percentage of locals will increase from 15% to 40%. How many passengers are there in the coach?

3 m
Some adult passengers are on a coach. If 25 tourists alight from the coach, the percentage of locals will increase from 15% to 40%. How many passengers are there in the coach?

Level 3

Kate and Yvonne collected stamps. Kate gave 30% of her stamps to Yvonne and as a result, Yvonne's stamps increased by 70%. If Kate had 294 stamps left, find the total number of stamps the two girls had at first?

3 m
Kate and Yvonne collected stamps. Kate gave 30% of her stamps to Yvonne and as a result, Yvonne's stamps increased by 70%. If Kate had 294 stamps left, find the total number of stamps the two girls had at first?

Level 3

Carl was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?

3 m
Carl was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?

Level 3

Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?

3 m
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?