# Worksheet: Solving Proportions Using Equivalent Expressions and Unit Rates

Q1:

Michaelβs car can travel 570 miles on 15 gallons of gasoline. Using a ratio table, determine how many miles he can travel on 11 gallons.

Q2:

It takes a mathematics teacher 35 minutes, or of an hour, to mark the tests of one-third of their class.

What fraction of the classβs tests could they mark in five minutes?

• A
• B
• C
• D
• E

What fraction of the classβs tests could they mark in an hour? Simplify the answer.

• A
• B
• C
• D
• E

How long would it take them to mark all the tests? Express your answer in hours and minutes.

• A 1 hour
• B 1 hour 5 minutes
• C 1 hour 45 minutes
• D 1 hour 9 minutes
• E 1 hour 50 minutes

Q3:

At a farmersβ market, the seller uses the equation to calculate the cost (in dollars) for kg of apples. What is the unit rate?

Q4:

A car consumes 10 liters of gas to travel 125 km. At the same rate of gas consumption, how many liters of gas are needed to travel 187.5 km and how far can it travel using 12 liters of gas.

• Agas , the distance
• Bgas , the distance
• Cgas , the distance
• Dgas , the distance

Q5:

If 7 pounds of meat cost \$42, how much do 5 pounds of meat cost?

Q6:

If water flows through a pipe at a rate of liters per minute, how many minutes does it take to fill three 5-liter containers?

• A 2
• B
• C
• D

Q7:

Natalie earned \$87.12 in a week for working 18 hours. If she works 25 hours the following week, determine the amount of money she will earn.

Q8:

Ethan can paint 3 portraits in 6 hours. At this rate, how many portraits can Ethan paint in 36 hours?

Q9:

Olivia cycles with a constant rate of 14 miles per hour. Which of the following tables represents this?

• A  Time (Hours) Distance (Miles) 14 28 42 56 1 2 3 4
• B  Time (Hours) Distance (Miles) 1 2 3 4 14 14 14 14
• C  Time (Hours) Distance (Miles) 1 2 3 3 0 14 28 42
• D  Time (Hours) Distance (Miles) 1 2 3 4 14 28 42 56
• E  Time (Hours) Distance (Miles) 0 14 28 42 1 2 3 4

Q10:

If the price of 6 pens is 12 LE, what is the price of 3 pens?

Q11:

A store sells 60 stickers for \$3. Select the correct statement from the following

• AThree stickers cost 60 cents.
• BFor \$1, you can buy 40 stickers.
• CSeven stickers cost 60 cents.
• DFor \$2, you can buy 40 stickers.
• EFor \$1, you can buy 30 stickers.

Q12:

Victoria can read 80 pages of a novel in 4 hours. At this rate, how many pages of a novel can Victoria read in 15 hours?

Q13:

A candy shop can make 7 ice cream cakes in 3 hours. At this rate, how many ice cream cakes can the shop make in 9 hours?

Q14:

It takes 5 days to vaccinate 245 children, where the same number of children are vaccinated each day. How many children can be vaccinated in 6 days?

Q15:

If , then find the value of .

Q16:

If , then find the value of .

Q17:

Madison sliced 4 pineapples in 16 minutes at a fruit fair. Determine how many pineapples Madison can slice in 36 minutes at this rate.

Q18:

Jacob read 300 pages in 30 days. How many pages will he read in 5 days if he reads at the same rate?

Q19:

The table shows the distance a cyclist traveled. If she continued to cycle at the same rate, determine the distance she will have traveled after four minutes.

 Time (min) Distance (yd) 1 2 3 4 350 700 1β050 ?

Q20:

If 7 out of 28 students go to bed before 10 pm, then how many go to bed before 10 pm in a school of 1β100 students?

Q21:

The price of 5 litres of liquid soap is 66.5 LE. At the same cost/litre, how much would 20 litres of the same liquid soap cost, and how many litres would cost 159.6 LE?

• A266 LE, 13 L
• B 1β330 LE, 12 L
• C 1β330 LE, 13 L
• D266 LE, 12 L

Q22:

A dolphin dove 354 feet in minutes. Given there are 3 feet in a yard, determine how many yards the dolphin dove, and then, by using a table, determine an algebraic expression that relates the number of feet to the number of yards.

• A 101 yd, .
• B 35 yd, .
• C 54 yd, .
• D 118 yd, .
• E 708 yd, .

Q23:

A store received a shipment of 200 keyboards at a price of \$7β000. If the store gave away 9 of them, use a ratio table to find how much money it lost.

Q24:

A customer service agent can handle 7 calls in 21 minutes. How many calls can this agent handle in 30 minutes?

Q25:

Noah has \$200 and wants to purchase some DVDs that cost \$20 each. He claims that the amount of money remaining after his purchase will be proportional to the number of DVDs he decides to buy. Is his claim valid?

• A no
• B yes