Clare and Maddie both purchased party invitations. They both spent the same amount of money. Joy spent $.75 per invitation and $3.25 on shipping and handling. Maddie spent $.50 on each invitation and $6.00 on shipping and handling. How many invitations did each girl purchased?

The answer is 11 invitations each

Step-by-step explanation:

since they both spent the same amount of money, we will be equating their costs.

We will represent the number of invitations with x

Remember their total costs are equal, therefore, we have:

0.75x + 3.25 = 0.50x + 6.00

Next, we collect like terms thus:

0.75x - 0.50x = 6.00 - 3.25

0.25x = 2.75

Next, we make x the subject of the formula by dividing both sides with 0.25, we therefore have:

0.25x/0.25 = 2.75/0.25

x = 11

Therefore, they each purchased 11 invitations.