Question

Janet and Samantha love watches. Janet owns 15 watches, and she buys 2 new watches each month. Samantha owns 9 watches, and she buys 3 new watches each month. Write and solve an equation to find how many months it will take for them to have the same number of watches. Use m as the variable for your equation.

a) 15m + 2 = 9m + 3
b) 15m - 2 = 9m + 3
c) 15m = 9m + 2
d) 15m - 2 = 9m - 3

Answer 1

It will take 6 months for Janet and Samantha to have the same number of watches.

Step-by-step explanation:

To find out how many months it will take for Janet and Samantha to have the same number of watches, we need to set up an equation. Let's use m as the variable for the equation. Janet owns 15 watches and buys 2 new watches each month, so the equation for her would be 15 + 2m. Samantha owns 9 watches and buys 3 new watches each month, so the equation for her would be 9 + 3m. To find when they will have the same number of watches, we can set these two equations equal to each other and solve for m: 15 + 2m = 9 + 3m.

Simplifying the equation, we get 6 = m. So it will take 6 months for Janet and Samantha to have the same number of watches.