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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?

 Jun 28, 2022
 #1
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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

 

cool cool cool

 Jun 29, 2022

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