Question

Joanna is driving 185 miles to visit her family. She drives 68 miles in the morning, stops for lunch, and then drives the rest of the distance. How many miles did she drive after lunch?

Use the variable m to represent the number of miles she drove after lunch.

Which equation represents this situation and its solution?


m + 68 = 185; m = 117

68m = 185; m = 17

m + 185 = 68; m = 117

185m = 68; m = 17

Answer 1

The equation represents this situation and its solution are m + 68 = 185; m = 117 ⇒ A

Explanation:

Let us solve the question

∵ Joanna is driving 185 miles to visit her family

∴ The total distance she is driving = 185 miles

∵ She drives 68 miles in the morning

∴ d
`_(M)` = 68 miles

∵ She stops for lunch and then drives the rest of the distance

∵ m represents the number of miles she drove after lunch

∴ d
`_(L)` = m miles

∵ d
`_(L)` + d
`_(M)` = the total distance she is driving

∴ m + 68 = the total distance she is driving

∵ The total distance she is driving = 185 miles

∴ m + 68 = 185

∴ The equation represents this situation is m + 68 = 185

→ To solve the equation subtract 68 from both sides

∵ 68 - 68 + m = 185 - 68

∴ m = 117 miles

∴ The solution is m = 117