Question

julie buys 2kg of apples and 7kg of pears £12.70. the pears cost £1.30 per kilogram what is the price per kilogram of the apples? show your working out

Answer 1

1.44 per kg

take 1.3 x 2, then subtract 12.7, finally divide that by 7

Answer 2

£1.80 is the price per kilogram of the apples

Explanation:

Here, x represents the number of apples per kilogram and y represents the number of pears per kilogram.

As per the statement:

Julie buys 2kg of apples and 7kg of pears £12.70.

⇒
`2x+7y = 12.70` ....[1]

It is also given that the pears cost £1.30 per kilogram

⇒y =£1.30

Substitute in [1] we have;

⇒
`2x+7 \cdot 1.30 = 12.70`

⇒
`2x+9.10= 12.70`

Subtract 9.10 from both sides we have;

⇒
`2x= 3.60`

Divide both sides we have;

x =£1.80

Therefore, £1.80 is the price per kilogram of the apples