Question

Caitlin buys some apples and some oranges. She buys twice as many apples as oranges. Each apple costs £0.25 Each orange costs £0.30 Caitlin has £5 to spend. Find the greatest number of apples she can buy.

Answer 1

12

Explanation:

0.25x+0.3x*1/2x<5

0.25x+0.15x<5

0.4x<5

x<12.5

hence it is 12

and by < i mean greater than equal

Answer 2

14

Explanation:

Caitlin buys twice as many apples as oranges.

`2a=o`

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

`5-2a(0.30)-0.25a=0`

`5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14`