Maths : Numbers

A fruit seller sold pears at 70₵ each and apples at 40₵ each. Sally bought some pears and Tom bought some apples from the fruit stall. Sally spent $1.10 more than Tom, but had 7 fruits fewer than Tom.


(a) How many pears did Sally buy?
(b) How much did Tom spent on the apples?

Solution

Excess cost of one pear       = 0.30$ (0.70 – 0.40)

Price for excess apples         = 0.40  ×  7     = 2.80$

Excess cost of pears bought = 2.80 + 1.10 = 3.90$

Total pears = 3.90 ÷ 0.30  = 13 pears

Number of apples bought = 13 + 7 = 20

Price for 20 apples = 20 × 0.40 = 8.00$

Verification

Cost of pears = 13 × 0.70 = 9.10$

Excess cost    = 9.10 – 8.00 = 1.10$