Question

Jamar bought eight 6-packages of juice boxes for his family. His grandmother bought 3 more 6-packs. Write an expression that models how many juice boxes they bought

Answer 1

The expression representing total number of juice boxes they bought is
`y=66x`

Explanation:

Given:

Number of 6-packages of juice bought by Jamar = 8

Number of 6-packages of juice bought by grandmother = 3

We need to write an expression which models Total number of juice boxes they bought.

Solution:

Let the Total number of juice boxes they bought be represented by 'y'.

Also Let number of boxes in each package be 'x'.

1 package = x boxes

6 package = number of boxes in 6 package.

By using Unitary method we get;

number of boxes in 6 package =
`6x`

Now we can say that;

Total number of juice boxes they bought will be equal to sum of Number of 6-packages of juice bought by Jamar multiplied by number of boxes in 6 package plus Number of 6-packages of juice bought by grandmother multiplied by number of boxes in 6 package.

framing in equation form we get;

`y=8* 6x +3* 6x\\\\y =48x+18x\\\\y=66x`

Hence the expression representing total number of juice boxes they bought is
`y=66x`