Problema Solution

Fractions:

Joe and Mark did the balloon toss. Joe caught the balloon 3 more times than Mark. Together they caught the balloon 29 times. How many times did Mark catch the balloon?

Answer provided by our tutors

let


j = the number of time Joe caught the balloon, j is non-negative integer

m = the number of time Mark caught the balloon, m is non-negative integer


Joe caught the balloon 3 more times than Mark


j = 3m


together they caught the balloon 29 times


j + m = 29


plug j = 3m into the equation j + m = 29


3m + m = 29


by solving we find


m = 7.25


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m = 7.25 is not an integer and is not a solution since we need m to be integer thus the problem doesn't have a solution.