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.

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

Number of medium cakes

Number  of large cakes

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

i think it is 18

step-by-step explanation:

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.