Free Practice Question
PS · Problem Solving
705-805
Fractions/Ratios/Decimals
On Sunday, in Alexa’s stable, the ratio of the number of ponies to the number of horses was 4:5. On Monday, she bought 35 more ponies and horses, then the ratio of ponies to horses became 5:8. Assuming that no animal left the stable or died and stable had ponies and horses only, what is the least number of horses that were there in the stable on Sunday?
Answer Choices
Correct answer marked belowA
35
B
55
60
Correct
D
65
E
70
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Explanation
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Official Explanation
Official
On Sunday, let the number of ponies be and the number of horses be .
On Monday, she bought 35 more animals in total. Let the number of horses bought be ; then the number of ponies bought is .
Total ponies on Monday:
Total horses on Monday:
The new ratio is given as 5:8, so:
Cross-multiplying:
Rewrite 280 as :…
On Monday, she bought 35 more animals in total. Let the number of horses bought be ; then the number of ponies bought is .
Total ponies on Monday:
Total horses on Monday:
The new ratio is given as 5:8, so:
Cross-multiplying:
Rewrite 280 as :…
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What it tests
Your ability to convert between fractions, ratios, and decimals and to reason proportionally.
Common trap
Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.
Details
Difficulty
705-805
Type
PS
Category