3 chews and 4 bubblies cost 72p. Five chew and 2 bubblies cost 64p. a) how much does a chew cost b)how much does a bubbly cost c)how much would 3 chews and 5 bubblies cost

Respuesta :

Answer: a. 8p b. 12p c. 84p

Step-by-step explanation:

Let the price of chews be c

Let the price of bubbly be b

3 chews and 4 bubblies cost 72p can be written as: 3c + 4b = 72

Five chew and 2 bubblies cost 64p can be written as: 5c + 2b = 64

3c + 4b = 72 ......... i

5c + 2b = 64 ........ ii

Multiply equation I by 5

Multiply equation ii by 3

15c + 20b = 360

15c + 6b = 192

Subtract

14b = 168

b = 12

Since 3c + 4b = 72

3c + 4(12) = 72

3c + 48 = 72

3c = 72 - 48

3c = 24

c = 24/3

c = 8

A chew cost 8p

A bubbly cost 12p

3 chews and 5 bubbly will cost:

(3×8) + (5×12) = 24 + 60 = 84p