Kumar spent a total of $840 to buy some mangoes and oranges for his fruit stall. He spent $360 more on oranges than on mangoes.
- Find the amount of money he spent on oranges. [2]
- He bought 3 times as many oranges as mangoes. Each mango cost 40 cents more than each orange. How many oranges did Kumar buy? [3]
Need a hint?
For (b), share the orange money into 3 equal groups so each group matches the number of mangoes. Then compare the money for one group of oranges with the money for the mangoes. Change 40 cents to dollars.
Worked answer
- (a) Take away the extra: $840 - $360 = $480. This is 2 equal parts (mangoes) in the bar model.
- One part: $480 ÷ 2 = $240 spent on mangoes. Oranges: $240 + $360 = $600.
- (b) Let the number of mangoes be 1 group, so oranges are 3 equal groups.
- Money for oranges in 1 group: $600 ÷ 3 = $200. Money for mangoes in 1 group: $240.
- Each mango costs more, so the $240 - $200 = $40 difference is the extra 40 cents on every mango.
- Number of mangoes: $40 ÷ $0.40 = 100.
- Number of oranges: 100 × 3 = 300.
- Check: 300 oranges at $2 = $600 and 100 mangoes at $2.40 = $240, and $600 + $240 = $840.
The mistake this question tests
Converting units (kg, ℓ, m, cm³)
Many pupils divide $40 by 40 and get 1, because they forget that 40 cents is $0.40. Others stop at 100 mangoes and forget the question asks for oranges.
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See the answer →Practise PSLE ratio until the mistakes stop.
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