Question

At a market, a kiwi costs $1, and an apple costs $1.50. If Charlie bought 5 more apples than kiwis and spent $12.50, how many apples did he buy? How many kiwis?

Answer 1

Number of apples bought = 7 and Number of kiwis bought = 2

Solution:

Let "k" be the number of kiwi bought

Let "a" be the number of apples bought

At a market, a kiwi costs $1, and an apple costs $1.50

Cost of each kiwi = $ 1

Cost of each apple = $ 1.50

If Charlie bought 5 more apples than kiwis and spent $12.50

Apples bought = 5 + kiwis

a = 5 + k --------- eqn 1

Also he spent $ 12.50

Number of apples bought x Cost of each apple + number of kiwi bought x Cost of each kiwi = 12.50

`a * 1.50 + k * 1 = 12.50`

1.5a + k = 12.50 --------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "k"

Substitute eqn 1 in eqn 2

1.5(5 + k) + k = 12.5

7.5 + 1.5k + k = 12.5

7.5 + 2.5k = 12.5

2.5k = 5

k = 2

Therefore from eqn 1,

a = 5 + k = 5 + 2 = 7

a = 7

Summarizing the results:

Number of apples bought = 7

Number of kiwis bought = 2