Problema Solution

Bill, John, and Tim together missed 28 problems on the exercise. John missed 4 less than Bill and Tim missed 6 mor than John. How many did each miss? What is the equation?

Answer provided by our tutors

let


b = the number of problems Bill missed

j = the number of problems John missed

t = the number of problems Tim missed


Bill, John, and Tim together missed 28 problems on the exercise


b + j + t = 28


John missed 4 less than Bill


j = b - 4


Tim missed 6 more than John


t = 6 + j


by solving the system of equations


b + j + t = 28

j = b - 4

t = 6 + j


we find


b = 10 problems


j = 6 problems


t = 12 problems


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Bill missed 10 problems.

John missed 6 problems.

Tom missed 12 problems.