Question

2 varieties of gift wrap paper are to be mixed. The assortment will cost $7. One sells for 50 cents a sheet the other for 25 cents a sheet. the number of 50 cents sheets is 3 times the number of 25 cent sheets. how many of each type of sheet should be included in the package

Answer 1

Given:

One variety of gift wrappers sells for 50 cents a sheet the other for 25 cents a sheet.

In dollars,

One variety of gift wrappers sells for 0.5 dollars a sheet the other for 0.25 dollars a sheet.

The assortment will cost $7.

Let x be the number of 50 cents sheets.

Let y be the number of 25 cents sheets.

It is also given that,

The number of 50 cents sheets is 3 times the number of 25 cent sheets.

x=3y ........ (1)

0.5x+0.25y=7 ....... (2)

Substitute (1) in (2) we get,

`\begin{gathered} 0.5(3y)+0.25y=7 \\ 1.5y+0.25y=7 \\ 1.75y=7 \\ y=(7)/(1.75) \\ y=4 \end{gathered}`

Hence, x=3(4)

x=12

So, the number 50 cents sheets are 12 and the number of 25 cents sheet is 4.