Harshamalipeddiidn
Answered

Explore IDNLearn.com's extensive Q&A database and find the answers you need. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

Bruce is working on paying back some money he borrowed from a friend by making monthly payments. Bruce has given the friend a down payment of $257, and each month he will pay the friend $45. If the total amount loaned to Bruce is $347, what equation can be used to represent the number of months it will take Bruce to pay back all of the money? Represent the number of months as the variable x .

Sagot :

Tessyaelvidn

Answer:

347 = 257 + 45x

Step-by-step explanation:

To create an equation representing this scenario, we have to have an equation equaling 347, which is the total amount in $ that Bruce owes his friend.

347 =

We know that Bruce made a downpayment of 257, so that must go on the right side of the equation since that is part of what bruce paid back of the total $347.

347 = 257 + ?

Now we need to create a term representing the rest of the money Bruce will pay back. X represents the number of months Bruce will pay his friend $45. If the number of months is multiplied by 45, we will get the amount of money Bruce paid after his initial downpayment of $257. Put this into our equation to make the equation true.

347 = 257 + 45x

Now, let's solve for x.

Subtract 257 on both sides.

90 = 44x

Divide by 45 on both sides.

2 = x

Bruce must pay $45 dollars to his friends once a month for 2 months, which means he must pay $90 after the downpayment of  $257. We can check our answer by substituting 2 into our equation.

347 = 257 + 45(2)

Multiply 45*2.

347 = 257 + 90

Add 257 and 90.

347 = 347

Our equation is true, so we know that the equation 347 = 257 + 45x accurately represents this scenario and that x = 2.

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.