Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles

Mathematics

1 answer:

sesenic [268]2 years ago

3 0

Answer:

Bottle of water = $2
Bottle of grape juice = $1.50

Step-by-step explanation:

Grape juice = g
Water = w

Equations:

3g + 5w = 14.50
2g + 3w = 9.00

Subtract the 3 times the second equation from the twice the first:

2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.00
6g + 10w - 6g - 9w = 29 - 27
w = 2

Then, finding g:

3g + 2*5= 14.50
3g = 14.50 - 10
3g = 4.5
g = 1.50

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