harshamalipeddi
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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 :

tessyaelv

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.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.