Problem 1 :
1360 grams of coffee cost $17.68. What is the unit price of the coffee per gram?
Problem 2 :
At a grocery store, 20 fl. oz. of brand A vitamin water is sold for $0.95. What is the unit price of the vitamin water per ounce, to the nearest cents?
Problem 3 :
Three angles of a triangle are in the ratio of 3 : 5 : 7. What is the measure of each angle?
Problem 4 :
The ratio of 7/4 to 5/2 is equal to the ratio 14 to what number?
Problem 5 :
If 2(x - y) = 3y, what is the ratio x/y?
Problem 6 :
The length and width of a rectangular garden are in the ratio 6 : 7. If the perimeter of the rectangle is 78 meters, what is the area of the garden in square meters?
Problem 7 :
If a car travels 218.5 miles on 9.5 gallons of gas, how many miles does the car travel on 15.5 gallons of gas?
Problem 8 :
The density of aluminum is 2.7 grams per cm3. How many grams does 12 cm3 of aluminum weigh?
1. Answer :
$17.68/1360 grams = 1768 cents/1360 grams
$17.68/1360 grams = 1.3 cents/gram
The unit price of the coffee is 1.3 cents per gram.
2. Answer :
$0.95/20 fl. oz. = 95 cents/20 fl. oz.
$0.95/20 fl. oz. = 4.75 cents/fl. oz.
The unit price of the the vitamin water per ounce is about 5 cents.
3. Answer :
From the ratio 3 : 5 : 7, the three angles are
2x, 7x, 11x
In any triangle, sum of the angles is equal to 180°.
Then,
2x + 7x + 11x = 180°
20x = 180
Divide each side by 20.
x = 9
Measure of each angle :
First angle = 2(9) = 18°
Second angle = 7(9) = 63°
Third angle = 11(9) = 99°
4. Answer :
Let x be the required number.
Then,
7/4 : 5/2 = 14 : x
Write the above ratios as divisions.
7/4 ÷ 5/2 = 14 ÷ x
(7/4) ⋅ (2/5) = 14/x
7/10 = 14/x
7x = 14 ⋅ 10
7x = 140
Divide each side by 7.
x = 20
So, the required number is 20.
5. Answer :
2(x - y) = 3y
2x - 2y = 3y
Add 2y to each side.
2x = 5y
Divide each side by 2y.
2x/2y = 5y/2y
x/y = 5/2
6. Answer :
From the ratio 6 : 7,
length = 6x
width = 7x
Given : Perimeter of the rectangle is 78 meters.
2l + 2w = 78
Substitute.
2(6x) + 2(7x) = 78
12x + 14x = 78
26x = 78
Divide each side by 26.
x = 3
Find the length and width :
length = 6(3) = 18 meters
width = 7(3) = 21 meters
Area of the rectangle :
= l ⋅ w
Substitute.
= 18 ⋅ 21
= 378
The area of the garden is 378 square meters.
7. Answer :
Distance covered on 9.5 gallons of gas = 218.5 miles
Distance covered on 1 gallon of gas :
= 218.5 / 9.5
= 23 miles
Distance covered on 15.5 gallons of gas :
= 15.5 ⋅ 23
= 356.5 miles
The car travels 356.5 miles on 15.5 gallons of gas.
8. Answer :
Weight of 1 cm3 aluminum = 2.7 grams
Weight of 12 cm3 aluminum :
= 12 ⋅ 2.7 grams
= 32.4 grams
12cm3 of aluminum weighs 32.4 grams.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Oct 02, 23 08:32 PM
Oct 02, 23 12:38 PM
Oct 02, 23 12:00 PM