Question

2) Ms. Reifeis is training for a marathon and has been running 22 miles per month to train. Over the next 8 months, she needs to run a total of 240 miles. Ms. Reifeis represents this scenario using the equation 8(22+ x) = 240. Solve the equation for x, showing all work. Write your answer as a sentence that describes what the variable x represents.

Answer 1

the given expression is

8(22+ x) = 240

176 + 8x = 240

8x = 240 - 176

8x = 64

x = 64/8

x = 8

thus, the answer is x = 8 months

so, she needs to run 22 + x = 22 + 8 = 30 miles per month to cover 240 miles in next 8 months.