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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?

 Apr 25, 2021
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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?

 

no. of friends = f, guess the no. of cupcakes 

                 

What do you know?

Fixed no. of cupcakes (at first) and friends

no. of friends  5 10 15
5 * f + 25 5 * 5 + 25 = 50 5 * 10 + 25 = 75 5 * 15 + 25 = 100
9 * f - 35 9 * 5 - 35 = 10 9 * 10 - 35 = 55 9 * 15 - 35 = 100
             no             no              yes


 

15 friends 

 

9 - 5 = 4 

25 + 35 = 60

60 / 4 = 15 (no. of freinds).

5 * 15 + 25 = 100

9 * 15 - 35 =100

 

100 cupcakes

 Apr 25, 2021

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