Question

Leyna has $400 in a savings account at the beginning of the summer. If she wants to haveat least $ 210 in the account by the end of summer, how many weeks can she take out$25 for food, clothes, and entertainment?

Answer 1

7 weeks

Step-by-step explanation

Step1

initial balance= +400

she wants to have at least 210

Let

x represents the number of weeks she can take out $25

Step 2

make the equation

210 in the account by the end of the summer = initial balance -money she spent x weeks

`210=400-25x`

Step 3

solve for x

`\begin{gathered} 210=400-25x \\ \text{subtract 400 in both sides} \\ 210-400=400-25x-400 \\ -190=-25x \\ \text{divide both sides by -25} \\ (-190)/(-25)=(-25x)/(-25) \\ x=7.6 \end{gathered}`

7.6 weeks, then she can take out 7 weeks.

I hope this helps you