Answer:
Profit of one small cake =£108.08
Step-by-step explanation:
small : medium : large = 5 : 7 : 12
Sum of the ratio = 5 + 7 + 12 = 24
Total number of cakes = 216
Number of small cakes
[tex]= \frac{5}{24} \times 216 = 5 \times 9 = 45[/tex]
Number of medium cakes
[tex]= \frac{7}{24} \times 216 = 7 \times 9 = 63[/tex]
Number of large cakes
[tex]=\frac{12}{24} \times 216 = 12 \times 9 = 108[/tex]
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
