Question

Suppose your class sells gift wrap for $4 per package and greeting cards for $10 per package. Your class sells 225 packages in all and receives a total of $1164. Find the number of packages of gift wrap and greeting cards sold.

Answer 1

The number of packages of gift wrap and greeting cards sold is 181 and 44 respectively

Explanation:

The computation of the number of packages of gift wrap and greeting cards sold is as follows:

Let us assume the number of packages of gift wrap be x

And, for greeting cards be y

The equation are as follows

x + y = 225 ..................(1)

We can write as

y = 225 - x

4x + 10y = $1,164 ............(2)

Now put the y value in the equation 2

4x + 10 (225 - x) = $1,164

4x + $2,250 - 10x = $1,164

-6x = $1,164 - $2,250

-6x = -$1,086

x = 181

And, y = 225 - 181

= 44