Question

Jake needs to buy 120 beverages for a party. Water is sold in packs of 12 bottles and juice is sold in packs of 8 bottles. Write an equation in Standard Form that determines the number (x) of 8-packs of juice and the number (y) of 12-packs of water that Jake can buy. If Jake buys 4 packs of water, how many packs of juices can he buy?

a) 12x + 8y = 120; x = 10
b) 8x + 12y = 120; x = 8
c) 12x + 8y = 120; x = 8
d) 8x + 12y = 120; x = 10

Answer 1

The equation in standard form is 8x + 12y = 120. If Jake buys 4 packs of water, he can buy 9 packs of juice.

Step-by-step explanation:

To solve this problem, we can start by setting up two variables: x for the number of 8-packs of juice and y for the number of 12-packs of water. We know that Jake needs to buy a total of 120 beverages, so the equation to determine the number of packs can be written as 8x + 12y = 120. This equation is in standard form.

If Jake buys 4 packs of water, we can substitute this value into the equation and solve for x. Plugging in y = 4, we get 8x + 12(4) = 120. Simplifying, we have 8x + 48 = 120. Subtracting 48 from both sides gives us 8x = 72. Dividing both sides by 8, we find that x = 9. Therefore, Jake can buy 9 packs of juice.