Three high schools can serve a town of 105,000 people. How many people could be served by 4 high schools?
Answer(s): C
The ratio of 105,000: 3 is equal to the ratio of x : 4, orwhere x is the population served by four schools. Solve for x by multiplying 4 times 105,000 and then dividing by 3 to get 140,000.
A recipe serves four people and calls for 1_12 _ cups of broth. If you want to serve six people, how much broth do you need?
Answer(s): B
1 cups equals 2/3 cups. The ratio is 6 people to 4 people, which is equal to the ratio of x to 3/2. By cross multiplying, we get 6(_3/2) equals 4x, or 9 equals 4x.Dividing both sides by 9, we get 9/4, or 2 cups.
Plattville is 80 miles west and 60 miles north of Quincy. How long is a direct route from Plattville to Quincy?
Answer(s): A
The distance between Plattville and Quincy is the hypotenuse of a right triangle with sides of length 80 and 60. The length of the hypotenuse equals the square root of (802 plus 602), which equals the square root of (6400 plus 3600), which equals the square root of 10,000, which equals 100 miles.
Which of the following brands is the least expensive?
You can find the price per ounce of each brand, as follows:It is then easy to see that Brand Y, at 2.8 cents per ounce, is the least expensive.
A salesman drives 2,052 miles in 6 days, stopping at 2 towns each day. How many miles does he average between stops?
2,052 miles divided by 6 days equals 342 miles per day. 342 miles divided by 2 stops equals 171 miles.
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