Question

I need help, please..

Answer 1

£1.31

Explanation:

The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )

sum the parts of the ratio, 5x + 7x + 12x = 24x

Equate 24x to the number of cakes sold, that is

24x = 216 ( divide both sides by 24 )

x = 9

Thus cakes sold are

5x = 5 × 9 = 45 small cakes

7x = 7 × 9 = 63 medium cakes

12x = 12 × 9 = 108 large cakes

let p represent the profit on a small cake, then

45p + 63(2p) + 108(3p) = 648.45 , that is

45p + 126p + 324p = 648.45

495p = 648.45 ( divide both sides by 495 )

p = 1.31

That is the profit on one small cake is £1.31

Answer 2

£1.31

Explanation:

5:7:12

• 5x+7x+12x= 216
• 24x= 216
• x= 9

small : medim : large = 45 : 63 : 108

• 45y+63*2y+108*3y= 648.45
• y(45+126+324)= 648.45
• 495y= 648.45
• y= 648.45/495
• y= £1.31 profit for small cake