Operations & Percents
Charlotte earns $1,595 per month and will receive a 7% raise. How much more money will Charlotte earn each year after her raise? (Show steps and answer to the nearest cent.)
Answer: $1,339.80
Kim has $250 to spend on a rental car. The company charges $130 plus $0.10 per mile. What is the maximum number of miles Kim can drive? (Write and solve.)
Answer: 1200 miles
Norman’s original deck is 11½ ft by 8½ ft. He increases both length and width by 2 ft. What are the new dimensions? (Compute new length and width.)
Answer: Length 13.5 ft; Width 10.5 ft
An art piece 3½ inches wide is centered on a paper 7 inches wide. How many inches from each edge is the art? (Show steps with fractions.)
Answer: 1.75 in (or 1(3/4) in)
A basket had 40 muffins.
- Cameron took 20% of the total.
- Calyce took 1/8 of the total.
- The cheer team took 50% of the total.
How many are left?
Answer: 7
After a 15% discount, a jacket costs $51. What was the original price? (Set up and solve a multi-step equation.)
Answer: $60
A phone plan charges a $20 monthly fee and $0.05 per text message. If the month’s bill is $45, how many text messages were sent? (Set up and solve.)
Answer: 500 texts
Norman's new deck measures 10.5 ft by 10.5 ft. Find the area.(Show work; use fractional values as needed.)
Answer: 141.75 sq. ft.
There were 40 muffins. Hannah took 10% of total, Caleb took 1/4, Cole took 1/5, Kelly took 30%. How many muffins are left? (Show arithmetic and final answer.)
Answer: 6 Muffins
A jug contains juice that is 30% concentrate and 70% water. If you add 2 liters of concentrate to a 10-liter jug, the concentrate becomes 40%. How much concentrate was originally in the jug? (Set up equation and solve.)
Answer: 2 liters originally
A store increases a price by 20% and then adds a $6 handling fee. The final price is $42. What was the original price before the percent increase and fee? (Write and solve an equation.)
Answer: p- $30
A projector rental costs $50 deposit plus $12 per hour. If the total paid was $158, how many hours was the projector rented? (Show steps.)
Answer: 9 hours
If wood costs $4.25 per square foot, calculate the cost of the wood for Norman's new deck (to the nearest cent). The area of his deck is 141.75 sp. ft.
Answer: $602.49
Convert 3½ inches to a decimal, then find the remaining margin on one side when centered on a 7-inch paper. (Show conversion and subtraction.)
Answer: 1.75 inches
A company packs boxes: each box holds 12 items. After packing some full boxes and 7 items left over, there are 259 items total. How many full boxes were packed? (Formulate and solve.)
Answer: 21 full boxes
A value is decreased by 12% and then decreased by another 8% of the result, giving a final value of $79.92. What was the original value? (Solve stepwise.)
Answer: $98.70
A student saves $5 each week and also gets $2 from odd jobs each week. After some weeks, they have $168 saved. If they started with $20, how many weeks passed? (Write an equation and solve. Round your answer to a whole number.)
Answer: about 21.14 (22 weeks)
A rectangular garden is 6 ft by 9 ft. Adding a uniform 1.5 ft border around increases both dimensions. What is the area of the larger rectangle? (Write and solve for the new area.)
Answer: 108 sq. ft
A recipe needs 2 (2/3) cups of flour. If you double the recipe and then remove 1/6 of the total for a friend, how many cups remain? (Solve stepwise.)
Answer: about 4.44 cups
A fundraiser sells tickets at $8 for adults and $5 for students. They sold 110 tickets and made $770. How many adult tickets were sold? (Set up and solve system as a single-variable equation.)
Answer: 73 adults
Sam splits an amount among three people. First person gets 25% of the amount, the second gets 1/3 of the remainder, and the third gets the rest which equals $210. What was the original amount? (Model and solve.)
Answer: $420
A puzzle: what number (x) makes these expressions equal?
3 times a number minus 7
twice the same number plus 11
Answer: x=18
A floor tile costs $3.40 each. A rectangular room measures 12 ft by 9 ft. Each tile covers 1.5 ft by 1.5 ft. How much will the tiles cost to cover the room? (Include steps: number of tiles needed and total cost.)
Answer: $163.20
A number decreased by 40% and then increased by 25% results in 90. What was the original number? (Set up and solve a multi-step percent equation.)
Answer: 220
Two friends share the cost of a gift. One pays 60% and the other pays the rest. After a coupon of $12 off the total, the first friend pays $72. What was the original price before the coupon? (Write and solve.)