Equation to Word Problems

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 190 lbs and each box of books weighs 75 lbs. The maximum capacity of the elevator is 1600 lbs. How many boxes of books can the delivery person bring up at one time?

• 75x + 190 = 1600

• 75 + 190x = 1600

• 75x - 190 = 1600

• 75 - 190x = 1600

Two college friends rent an apartment. They have to pay the landlord three months rent and a $700 security deposit when they sign the lease. The total amount they pay the landlord is $3200. What is the rent for one month.

• 700 + 3x = 3200

• 700 - 3x= 3200

• 3x - 700 = 3200

• 3200 - 700 = x

A bowling league requires you to buy a bowling ball for $65 and pay $8 for each game. If you spent $143 total how many games did you play?

• 8x - 65 = 143

• 143 + 8x = -65

• 8x + 65= 143

Anna started a dog walking business. So far she has $212. She spent $58 on supplies and charges $16 per hour. How many hours has she worked so far?

• 16x - 58= 212

• 212+ 16x = -58

• 16x + 58= 212

Bob was given a $540 gift card for his birthday. He bought some video games that cost $52 each and now he has $130 left on the card. How many video games did he buy?

• 540 - 52x = 130

• 540 - 130x = 52

• 52x - 130 = 540

Dexter's Gym charges a one-time registration fee of $75 and $12 each month. The total fee after x months is $480. Which equation models this situation?

• 75x + 12 = 480

• 12x + 75 = 480

• 12x - 75 = 480

• 12 + 480= 75x

Brenda's gym charged $20 fee to join plus $18 per month. She calculated that the gym has cost her a total of $220 since she joined. Which equation could be used to determine the number of months(m) Brenda has been going to the gym?

• 20m + 18 = 220

• 20 + 18 = 220m

• 20 + 18m = 220

• m + 18 = 220- 20

Mallory bought pizza and soda for her End of Summer party. If she spent $14.93 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

• 12.35x + 14.93 = 108.33

• 108.33x - 12.35 = 14.93

• 14.93x + 12.35 = 108.33

• 14.93 + 12.35 = 108.33

Margaret is a waitress at The Seafood Bonanza.  She earns $5 an hour plus 60% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 5h + 0.60d = S

• S = 60d + 5h

• S = 5d + 60h

• S = 5h + 6.0d

At Joe's Clown Car Rental Agency, renting a car costs $42 plus $0.52 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $248.19?

• 248.19 = m(42 + 0.52)

• 248.19 = 42 + 0.52m

• 248.19 = 0.52 + 42m

• 248.19 = 0.52(m + 42)