Jo has a stall at the May Day Fayre. She sells 192 cakes in the ratio:
small : medium : large =
7 : 6 : 11
The profit for one medium cake is twice the profit for one small cake.
The profit for one large cake is three times the profit for one small cake.
Her total profit is £532.48
Can you work out the profit for one small cake?
Answer:
192/ (7+6+11) = 8
Therefore number of cakes:
Small = 7 x 8 =56
Medium = 6 x 8 = 48
Large = 11 x 8 = 88
M = 2S
L = 3S
56S + 48M + 88L = 532.48
Substituting in:
56S + 48 (2S) + 88 (3S) = 532.48
56S + 96S + 264S = 532.48
S = 532.48/416
S = 1.28