Name______Date______Class______
Solving Equations Word Problems
Write and solve an equation for each word problem.
1)Jacob makes $55,000 and is getting annual raises of $2,500. Omar makes
$62,000, with annual raises of $2,000. How many years, y, will it take for Logan and Brandon to make the same salary?
2)A full 355 mL can of Dr. Pepper is leaking at a rate of 5 mL per minute into an empty can. How long will it take for the two cans to have the same amount, a, of Dr. Pepper?
3)You are looking for an apartment and there are two final choices. Apartment A has a $1,000 security deposit and costs $1,200 each month. Apartment B has a $1,500 security deposit and costs $1,175 each month. How many months, m, will it take for the costs to be the same?
4)On the first day of the year, Charlotte had $700 in her savings account and started spending $35 a week. Her brother Max had $450 and started saving $15 a week. After how many weeks will they have the same amount? What will that amount be?
5)One photo shop charges $0.36 per print. Another photo shop charges $2.52 plus
$0.08 per print. Ana finds that the cost of developing her photos is the same at either shop. How many photos does Ana have to develop? What is that cost?
6)A health insurance policy costs $700 per year, plus a $15 payment for each visit to the doctor’s office. A different plan costs $560 per year, but each office visitis $50. Find the number of office visits for which the two plans have the same total cost. What is that cost?
7)Phone company A charges a fee of $0.36 plus $0.03 per minute. Phone company B charges $0.06 per minute. How long is a call that costs the same, no matter what company is used? What is the cost of that call?
8)Scott’s house painting company charges $376 plus $12 per hour. Ian’s painting company charges $280 plus $15 per hour. How long is a job for which both companies will charge the same amount? What will the cost be?
9)Dylan and Darnellare beginning an exercise program to train for football season. Dylan weighs 150 lbs and hopes to gain 2 lb per week. Darnell weighs 195 lbs and hopes to lose 1 lb per week. If the plan works, in how many weeks will the boys weigh the same amount? What will that weight be?
10) A moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. How long is a job that costs the same no matter what company is used? How much does that job cost?