Question

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy?

Answer 1

5

Explanation:

The number of water bottles
`= w`

The number of juice bottles
`= j`

We have,
`3w + 4j = 39`

When we purchase 6 bottles of juice,
`j = 6`

So,

`3w + 4j = 39`

`3w + 4 * 6 = 39`

`3w + 24 = 39`

`3w = 39 - 24`

`3w = 15`

`w = (15)/(3)`

`w = 5`

Therefore, we can buy 5 bottles of water.

Answer 2

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.