Question

2 cups and 3 plates costs £18. 5 cups and 1 plate costs £19. Find the cost of a cup. Find the cost of a plate

Answer 1

A plate costs £4

Explanation:

Let us represent the cups by c and the plates by variable p

Thus mathematically from the statements;

2c + 3p = 18. ••••••• (i)

secondly

5c + p = 19 •••••••••(ii)

so we want to find the value of p

Let’s multiply equation i by 5 and ii by 2

we have;

10c + 15p = 90

10c + 2p = 38

Now subtract equation ii from i

13p = 52

p = 52/13

p = 4