Tom baked some cupcakes. If he gave each of his friends 5 cupcakes, he would have 25 cupcakes left. If he gave each of his friends 9 cupcakes, he would need to bake another 35 more cupcakes. How many cupcakes did Tom bake?

Guest Jun 28, 2022

#1**+1 **

Call the nymber of friends he has, x

5x + 25 = the total number of cupcakes he had before baking the additional ones

Giving his friends 9 cupcakes apiece would result in this equation

5x + 25 + 35 = 9x

5x + 60 = 9x

60 = 9x - 5x

60 = 4x

60 / 4 = x = 15 friends

The number he has baked = 5 *x + 25 = 5(15) + 25 = 100

Proof

If he bakes 35 more he has 135

And each friend would receive 135 / 15 = 9

CPhill Jun 29, 2022