Question

Gina sells 216 cakes in the ratio small:medium:large=5:7:12,the profit for one medium cake is twice the profit for one small one.the profit for one large cake is three times the profit for one small cake.her total profit is £648.45,Work out the profit for one small cake.

Answer 1

Profit of one small cake =£108.08

Explanation:

small : medium : large = 5 : 7 : 12

Sum of the ratio = 5 + 7 + 12 = 24

Total number of cakes = 216

Number of small cakes

`= (5)/(24) * 216 = 5 * 9 = 45`

Number of medium cakes

`= (7)/(24) * 216 = 7 * 9 = 63`

Number of large cakes

`=(12)/(24) * 216 = 12 * 9 = 108`

Let profit of one small cake be = x

Profit of medium cake is twice profit of small cake = 2x

Profit of large cake is thrice profit of small cake = 3x

Total profit = £648.45

x + 2x + 3x = £648.45

6x = 648.45

x = 108.075

Therefore , profit of one small cake =£108.08

Answer 2

Explanation:

216 cakes =5+7+12

=24

5 = 216 cakes ÷ 24 × 5

= 45 cakes

7 = 216 cakes ÷ 24 × 7

= 63 cakes

12 = 216 cakes ÷ 24 × 12

=108 cakes

£648.45 ÷ (45+63+63+108+108+108)cakes = £648.45 ÷ 495

= £1.31

45 cakes × £1.31 = £58.95

i not sure,hope it help.