Question

The cost of a tracksuit

is $45 and the cost of a
school blazer is 95.
A school uniform shop
buys 16 items of
clothing and spends
1220. How many tracksuits does the shop
buy?

Answer 1

6 tracksuits

Explanation:

Let x = the number of track suits

Let y = the number of blazers

x + y = 16 → x = 16 -y

45x + 95 y - 1220

Substitute 16 - y for x

45(16 -y) + 95 x = 1220

720 -45y + 95 y = 1220

720 + 50y = 1220

50y = 500

y = 10

The number of blazers is 10

x + y = 16 substitute 10 for y

x + 10 = 16

x = 6

The number of tracksuits is 6