Proportion / Ratio / Rate
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SAT Math › Proportion / Ratio / Rate
For every 5 glasses of lemonade, Bud earns $2. How many glasses must he sell to earn $24?
Explanation
We can set up a simple proportion to solve this. For every 5 glasses, Bud gets $2. For every x glasses, he earns $24.
For every 5 glasses of lemonade, Bud earns $2. How many glasses must he sell to earn $24?
Explanation
We can set up a simple proportion to solve this. For every 5 glasses, Bud gets $2. For every x glasses, he earns $24.
A rabbit runs at a speed of 
Explanation
Let's set up a proportion to help solve this problem. We can say:
Now, we can cross-multiply and solve for the unknown. Don't worry about units for now. They will cancel out and leave us with hours as the units for our answer.
Therefore, our answer is 
A survey of studio offices in a city with 14,000 employees reveals that there are, on average, 12.5 employees per office. If there have been a cumulative total of 3,400 printers sold to the offices of the city, what is the best estimate of the average number of printers per office?
0.33
0.77
1.2
3.0
4.1
Explanation
The best estimate would be to simply divide the number of printers by the number of offices. However, they only gave us the average number of employees per office, thus to find the number of offices we divide:
14,000 (people)/12.5 (per office) = 14,000/12.5 = 1,120 offices
We already know the number of printers available total, thus again divide
3,400 (printers)/1,120 (offices) = 3.04, or 3.0 printers per office as the best estimate.
A rabbit runs at a speed of
Explanation
Let's set up a proportion to help solve this problem. We can say:
Now, we can cross-multiply and solve for the unknown. Don't worry about units for now. They will cancel out and leave us with hours as the units for our answer.
Therefore, our answer is
A survey of studio offices in a city with 14,000 employees reveals that there are, on average, 12.5 employees per office. If there have been a cumulative total of 3,400 printers sold to the offices of the city, what is the best estimate of the average number of printers per office?
0.33
0.77
1.2
3.0
4.1
Explanation
The best estimate would be to simply divide the number of printers by the number of offices. However, they only gave us the average number of employees per office, thus to find the number of offices we divide:
14,000 (people)/12.5 (per office) = 14,000/12.5 = 1,120 offices
We already know the number of printers available total, thus again divide
3,400 (printers)/1,120 (offices) = 3.04, or 3.0 printers per office as the best estimate.
If an object takes 10 minutes to go 3 miles, how fast is the object going?
10/3 mph
18 mph
1/2 mph
36 mph
3/10 mph
Explanation
First convert minutes to hours, so 10 minutes is 1/6 hours; then remember distance = rate * time, so distance/time = rate then 3/(1/6) = 18 mph
If an object takes 10 minutes to go 3 miles, how fast is the object going?
10/3 mph
18 mph
1/2 mph
36 mph
3/10 mph
Explanation
First convert minutes to hours, so 10 minutes is 1/6 hours; then remember distance = rate * time, so distance/time = rate then 3/(1/6) = 18 mph
If an airplane is flying 225mph about how long will it take the plane to go 600 miles?
2.4 hours
2.5 hours
2.7 hours
3.2 hours
3.5 hours
Explanation
Speed = distance /time; So by solving for time we get time = distance /speed. So the equation for the answer is (600 miles)/ (225 miles/hr)= 2.67 hours; Remember to round up when the last digit of concern is 5 or more.
If a car travels 60 mph for 2 hours, 55 mph for 1.5 hours and 30 mph for 45 minutes, how far has the car traveled?
225 miles
145 miles
1552.5 miles
120 miles
202.5 miles
Explanation
Distance traveled = mph x hour
60mph x 2hours + 55mph x 1.5 hours + 30 mph x 45 minutes (or .75 hours) =
120 miles + 82.5 miles + 22.5 miles = 225 miles