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

Answer:

5

Step-by-step 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,

$3w + 4j = 39$

$3w + 4 \times 6 = 39$

$3w + 24 = 39$

$3w = 39 - 24$

$3w = 15$

$w = \frac{15}{3}$

$w = 5$

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.