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?

Respuesta :

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.

aachen

Answer:

5

Step-by-step explanation:

The number of water bottles [tex]= w[/tex]

The number of juice bottles [tex]= j[/tex]

We have, [tex]3w + 4j = 39[/tex]

When we purchase 6 bottles of juice, [tex]j = 6[/tex]

So,

[tex]3w + 4j = 39[/tex]

[tex]3w + 4 \times 6 = 39[/tex]

[tex]3w + 24 = 39[/tex]

[tex]3w = 39 - 24[/tex]

[tex]3w = 15[/tex]

[tex]w = \frac{15}{3}[/tex]

[tex]w = 5[/tex]

Therefore, we can buy 5 bottles of water.