Grandmother

A grandmother wants to divide candies among her grandchildren. If she gives five candies to each, she is three short. If she gives four candies to each, she has three left over. How many grandchildren does she have, and how many candies does she have?

Final Answer:

b =  27
n =  6

Step-by-step explanation:


5n-3 = 4n+3
b = 5n-3

5·n-3 = 4·n+3
b = 5·n-3

n = 6
b-5n = -3

Pivot: Row 1 ↔ Row 2
b-5n = -3
n = 6


n = 6/1 = 6
b = -3+5n = -3+5 · 6 = 27

b = 27
n = 6

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