Question

tuition for one year at University of State is about $14,500 Pat would like to attend this University and will save money each month for the next 4 years her grandparents will give her $6,300 for her first year of tuition what is the minimum amount of money that must save per month to have enough money to pay for her first year of tuition

Answer 1

so, Pat needs to save the minimum amount of $170.83 per month

Step-by-step explanation

Step 1

Let

total = 14500

grandparents=3600

so, the total equals what the grandparents gave him plus what he can save

`14500=6300+x`

but, he will save the same amount of money every month

4 years= 48 months

let y represents the amount he saves per month ,so

x=48*y

now, replace

`14500=6300+48y\rightarrow equation`

Step 2

solve the equation

`\begin{gathered} 14500=6300+48y\rightarrow equation \\ \text{subtract 6300in both sides} \\ 14500-6300=6300+48y-6300 \\ 8200=48y \\ \text{divide both sides by 48} \\ (8200)/(48)=(48y)/(48) \\ 170.83=y \end{gathered}`

so, Pat needs to save the minimum amount of 170.83 per month

I hope this helps you