Question

at the local market, bill buys 3 juice boxes and 2 hot dogs at a cost of $8 , while sarah buys 2 juice boxes and 1 hot dog at a cost of $5 the cost of each juices box is and the cost of each hot dog is

Answer 1

3j + 2h = 8
2j + h = 5....(-2)
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3j + 2h = 8
-4j - 2h = -10
---------------add
-j = -2
j = 2

3j + 2h = 8
3(2) + 2h = 8
6 + 2h = 8
2h = 8 - 6
2h = 2
h = 1

each juice box (j) costs $2, and each hotdog (h) costs $ 1

Answer 2

Answer with Step-by-step explanation:

Let j be the cost of each juice box and h be the cost of each hot dog.

3j + 2h = 8

2j + h = 5

Multiply second equation by 2 and subtract from first equation

3j+2h-4j-2h=8-10

-j=-2

⇒ j=2

Putting value of j in equation first, we get

3×2+2h=8

⇒ 6+2h=8

⇒ 2h=2

⇒ h=1

Hence, Cost of each juice box=$ 2

and Cost of each hot dog=$ 1