What is the equation and answer for this?

Question

Samuel is saving to buy a watch that costs $169. This is $48 more than 4 times what he saved last month. How much did he save last month? Write the equation in the Show Your Work part.

Answer 1

Samuel is saving to buy a watch that costs $169. This is $48 more than 4 times what he saved last month. How much did he save last month? Write the equation in the Show Your Work part.

Just break it down a bit at a time. You are given the total first and then it's relationship to what he saved last month. So.

1. 169 = 48 + 4x (where x is what he saved last month)
2. now solve for x: 169 - 48 = 4x; 121 = 4x; x = $30.25
3. Samuel saved $30.25 last month

Answer 2

First, I will set some variables.

W = Cost of a watch that Samuel is trying to buy

x = what Samuel saved last month

In the problem, it states, "Samuel is saving to buy a watch that costs $169," which means W is 169.

After that, it states, "This is $48 more than 4 times what he saved last month."

(What Samuel saved last month) times 4 plus $48 is equal to (Cost of a watch that Samuel is trying to buy).

This can be written as 4x + 48 = W

We know that W is $169, so it becomes 4x + 48 = 169

All we have to do now is solve for x, what Samuel saved last month.

Subtract 48 from both sides. 4x + 48 - 48 = 169 - 48 -> 4x = 121

Divide 4 from both sides. 4x / 4 = 121 / 4 -> x = 121 / 4 or 30.25

Answer 3