Question

Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104

Answer 1

Cost of Blanket = 32

Explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i) , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b + 15s = 312 ,

(-)6b + (-)8s = (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32