Transportation Costs
A taxi company charges a flat fee of $3.00 and $1.00 per mile. If the total fare is $15.00, how many miles were traveled?
Equation: 3.00+1.00m=15.00
Solution: m=12 miles
A cell phone plan costs $25 per month and $0.12 for each minute used. If the total bill this month is $37.20, how many minutes were used?
Equation: 25+0.12m=37.20
Solution: m=101 minutes
The width of a rectangle is 6 cm less than the length. If the perimeter is 36 cm, what are the dimensions?
Equation: 2l+2(l−6)=36
Solution: Length l=12 cm, Width w=6 cm
Tom is 4 more than twice Andrew's age. If Tom is 18 years old, how old is Andrew?
Equation: t=2a+4
Solution: a=7 years old
A company incurs $600 in fixed costs plus $5 for each item produced. If their total budget is $1,500, how many items can they produce?
Equation: 600+5m=1500
Solution: m=180 items
A bus company charges $2.00 for the first mile and $0.50 for each additional mile. If a ride costs $7.00, how far did the bus travel?
Equation: 2.00+0.50m=7.00
Solution: m=10 miles
One cell phone plan charges a monthly fee of $15.00 and $0.20 per minute. If the bill is $27.00, how many minutes were talked?
Equation: 15+0.20m=27
Solution: m=60 minutes
The length of a rectangle is 2 inches more than three times its width. If the perimeter is 28 inches, what is the length of the rectangle?
Equation: 2l+2w=28 with l=3w+2
Solution: Length l=10 inches, Width w=4 inches
The sum of Sara and Rachel's ages is 34. If Rachel is 4 years younger than Sara, how old is Sara?
Equation: s+(s−4)=34
Solution: s=19 years old
Company A spends $800 on overhead and $3 per item made. Company B spends $600 on overhead and $5 per item. How many items must be made for their expenses to match?
Equation: 800+3m=600+5m
Solution: m=100 items
A train ticket costs $10 plus $0.20 for each mile traveled. If the total cost is $30, how many miles is the trip?
Equation: 10+0.20m=30
Solution: m=100 miles
A cell phone plan has a fixed fee of $22 per month and charges $0.18 per minute. If a total bill of $46.38 was incurred, how many minutes were used?
Equation: 22+0.18m=46.38
Solution: m=135 minutes
A square has sides measuring (2x+2) cm. If the perimeter is 40 cm, what is the value of x?
Equation: 4(2x+2)=40
Solution: x=4
Jessica is twice Michael's age. If the sum of their ages is 30, how old is Jessica?
Equation: j+m=30 j=2m
Solution: j=20 years old
Company A spends $1,200 each day for overhead expenses plus $10 per product for labor and materials. Company B spends $1,500 each day for overhead expenses plus $8 per product for labor and materials. If both companies produce the same number of products, how many products do they need to manufacture for their expenses to be equal?
Equation: 1200+10p=1500+8p
Solution: p=150 products
A taxi ride costs $2.50 for the initial charge and $0.50 for each additional mile. If the total fare is $17.50, how far was the ride?
Equation: 2.50+0.50m=17.50
Solution: m=30 miles
A family has a plan that costs $10 for the first minute and $0.30 for each additional minute. If the total bill is $35, how many minutes did they talk?
Equation: 10+0.30m=35
Solution: m=83 minutes
The length of a rectangle is 4 cm more than twice its width. If the perimeter of the rectangle is 40 cm, what is the width of the rectangle?
Equation: 2w+2(2w+4)=40
Solution: w=8 (width), length is 20 cm.
Emily is 3 years older than Daniel. If Daniel is 2 years older than Liam and the sum of their ages is 36, how old is Emily?
Equation: e=d+3 d=l+2
Solution: e=20 years old
A factory has $1,200 in fixed costs and incurs $6 for each item produced. If the total revenue is $3,600, how many items must be produced to break even?
Equation: 1200+6m=3600
Solution: m=400 units
A rental car costs $40 per day and $0.25 for each mile driven. If the total spent is $60, how many miles were driven?
Equation: 40+0.25m=60
Solution: m= miles
Two friends compare cell phone plans. One plan charges $28 per month and $0.15 per minute, while the other charges $20 per month and $0.25 per minute. How many minutes must be talked for the costs to be equal?
Equation: 28+0.15m=20+0.25m
Solution: m=80 minutes
The length of a rectangle is three times its width. If the area is 72 square inches, what are the dimensions?
Equation: lw=72 l=3w
Solution: Length l=18 inches, Width w=6 inches
Kate is 4 more than twice Jake's age. If the sum of Kate and Lucy's ages is 32, how old is Kate?
Equation: k+l=32 and k=2j+4
Solution: k=24 years old
A factory spends $1,000 on fixed costs and $10 per item produced. If they want to earn a total of $5,000, how many items must be produced?
Equation: 1000+10m=5000
Solution: m=400 items