At a bakery, Nurul's gift card had enough value to buy exactly 4 large fruit tarts, 20 medium fruit tarts or 100 small fruit tarts. She used it to buy 2 large fruit tarts and 6 medium fruit tarts. What was the greatest number of small fruit tarts Nurul could buy with the remaining value?
Need a hint?
Find how many small fruit tarts one large tart and one medium tart are worth before finding the remaining value.
Worked answer
- Use the price of 1 small fruit tart as 1 unit.
- Since 100 small fruit tarts cost the same as 4 large fruit tarts, 1 large fruit tart costs 100 ÷ 4 = 25 units.
- Since 100 small fruit tarts cost the same as 20 medium fruit tarts, 1 medium fruit tart costs 100 ÷ 20 = 5 units.
- The 2 large fruit tarts and 6 medium fruit tarts cost 2 × 25 + 6 × 5 = 80 units.
- The remaining value buys 100 − 80 = 20 small fruit tarts.
Answer: 20 small tarts
The mistake this question tests
Habit
Stopped at one part in ratio
Some pupils may subtract the number of large and medium tarts directly from 100. This ignores that the three sizes of fruit tarts have different prices.
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See the answer →Practise PSLE ratio until the mistakes stop.
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