Question

Alyson opened a savings account with $100. She saves $50 per month. She now has a total of $400 in her account. What can be used to find how many months she had been saving?a) 100 + 50x = 400b) 50 + 100x = 400c) 600 + 50x = 400d) 400 + 100x = 50

Answer 1

Given:

Initial amount saved = $100

The amount she saves per month = $50

The total amount she has saved = $400

To find the number of months, we would subtract the initial amount from the total amount and divide it by the amount saved per month:

Hence, we have the formula:

`\text{Number of months = }\frac{Total\text{ amount - Initial amount}}{Amount\text{ saved per month}}`

Let the number of months she has been saving be x

Substituting we have:

`x\text{ = }\frac{400\text{ - 100}}{50}`

Cross-Multiply:

`\begin{gathered} 5x\text{ = 400 - 100} \\ 5x\text{ + 100 = 400} \end{gathered}`

Answer:

100 + 5x = 400 (Option A)