Aaron needs to take out a loan to purchase a motorcycle. At one bank, he would pay $2500 initially and $150 each month for the loan. At another bank, he would pay $3000 initially and $125 each month. After how many months will the loan payments be the same?

Answers

Answer 1

Answer:

Answer:

20 months

Step-by-step explanation:

Let x represent the number of months.

We have been given that at one bank, Aaron would pay $2500 initially and $150 each month for the loan. So amount paid in x months would be $150x+2500$ .

We are also told that at another bank, Aaron would pay $3000 initially and $125 each month for the loan. So amount paid in x months would be $125x+3000$ .

To find the number of months when both loan payments will be the same, we will equate both expressions as:

$150x+2500=125x+3000$

$150x-125x+2500=125x-125x+3000$

$25x+2500=3000$

$25x+2500-2500=3000-2500$

$25x=500$

$(25x)/(25)=(500)/(25)$

$x=20$

Therefore, after 20 months both loan payments would be the same.

Answer 2

Answer: Hi
3000+125x=2500+150x
500=25x
x=500/25
x=20
Therefore the answer will be 20 months.
All the best!

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Answers

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Answers

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