Question

Manuel ate 1/3 of the cracker on a plate. His brother ate 1/4 of the cracker. their were 5 crackers left on the plate. How many cracker were there to begin with?

Answer 1

1/3 + 1/4 = 4/12 + 3/12 = 7/12
7/12 =  both brothers ate 7 crackers out of 12 crackers

there were 5 crackers left on the plate means 5/12 crackers left on the plate

answer: 12 crackers at the begining

Answer 2

We need to calculate the total number of crackers in the plate

The total crackers in the plate is 12 crackers

Let

x = total cracker

Manuel cracker = 1/3 of x

= 1/3x

His brother = 1/4 of x

= 1/4x

Cracker left = 5

Total = Manuel + his brother + leftover

x = 1/3x + 1/4x + 5

x = 4x+3x/12 + 5

x = 7/12x + 5

x - 7/12x = 5

12x - 7x/12 = 5

5/12x = 5

x = 5 ÷ 5/12

x = 5 × 12/5

x = 60/5

x = 12 crackers

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