Each of 5 friends has x action figures in his or her collection. Each friend buys 11 more action figures. Now the 5 friends have a total of 120 action figures. a. Write an equation that models the problem. b. Solve the equation to find the number of action figures, x, that each friend had originally.

Question
Equations and inequalities
asked 2021-02-05
Each of 5 friends has x action figures in his or her collection. Each friend buys 11 more action figures. Now the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that each friend had originally.

Answers (1)

2021-02-06
a.If each friend buys 11 more action figures, then each will have x+11 action figures. Since the total action figures is 120, we can write th equation: 5(x+11)=120
b. Solve for x. Divide both sides by 5: x+11=24
Subtract 11 from both sides: x=13
Each friend originally had 13 action figures each.
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