Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Maddy is carrying a $5\,\text{liter}$ jug of sports drink that weighs $7.5\,\text{kg}$ . She wants to know how many kilograms a $2\,\text{liter}$ jug of sports drink would weigh $(w)$ . She assumes the relationship between volume and weight is proportional. What is the weight of the $2\,\text{liter}$ jug?

View step-by-step help

View step-by-step help

Calculate unit rates with fractions

Full solution

Q. Maddy is carrying a

5\,\text{liter}

jug of sports drink that weighs

7.5\,\text{kg}

. She wants to know how many kilograms a

2\,\text{liter}

jug of sports drink would weigh

(w)

. She assumes the relationship between volume and weight is proportional. What is the weight of the

2\,\text{liter}

jug?

Identify Given Information: Identify the given information and what is being asked. $\newline$ Maddy has a $5$ -liter jug of sports drink that weighs $7.5$ kg. We need to find the weight of a $2$ -liter jug of sports drink, assuming the relationship between volume and weight is proportional.
Set Up Proportion: Set up the proportion to find the weight of the $2$ -liter jug. $\newline$ Since the relationship between volume and weight is proportional, we can set up the following proportion: $\newline$ $\frac{\text{Weight of } 5\text{-liter jug}}{\text{Volume of } 5\text{-liter jug}} = \frac{\text{Weight of } 2\text{-liter jug}}{\text{Volume of } 2\text{-liter jug}}$ $\newline$ $\frac{7.5 \text{ kg}}{5 \text{ liters}} = \frac{w}{2 \text{ liters}}$
Solve for Unknown Weight: Solve for the unknown weight $w$ of the $2$ -liter jug. $\newline$ Cross-multiply to solve for $w$ : $\newline$ $7.5 \, \text{kg} \times 2 \, \text{liters} = 5 \, \text{liters} \times w$ $\newline$ $15 \, \text{kg} = 5 \, \text{liters} \times w$
Divide to Isolate Weight: Divide both sides of the equation by $5 \text{ liters}$ to isolate $w$ . $\newline$ $\frac{15 \text{ kg}}{5 \text{ liters}} = w$ $\newline$ $w = 3 \text{ kg}$

More problems from Calculate unit rates with fractions

Question

Recently, frogs have been disappearing from the wild due to a contagious fungus. To monitor the current population in a certain region, Alan collects

28

frogs, marks them, and releases them. Later, he collects

110

frogs and finds that

11

of them are marked. To the nearest whole number, what is the best estimate for the frog population?

\_\_\_\_

Posted 2 months ago

Question

v

in the proportion.

\frac{v}{6} = \frac{25}{30}

v =

Posted 2 months ago

Question

\newline

\frac{7}{3}x= 21

\newline

x =

Posted 3 months ago

Question

Fabio and Carlos play on a basketball team together. In the last game, Fabio had

7

points less than

2

times as many points as Carlos. Fabio scored

31

points in the game. How many points did Carlos score in the last game?

Posted 1 month ago

Question

Stephanie is twice as old as her sister Rosa. If Stephanie is

\mathbf{1 8}

years old, how old is Rosa?

Posted 1 month ago

Question

Yohan is blowing up a spherical balloon. He blows

108 \pi

cubic centimeters of air with every breath. It takes him

72

breaths to fully inflate the balloon. What is the radius of the balloon in centimeters when it is fully inflated?

Posted 1 month ago

Question

4

gallons of gas in her car. If the fuel efficiency of her car is

23

miles per gallon, how many miles can Nadine drive before running out of gas?

Posted 2 months ago

Question

According to a website where users review their doctors,

116

119

users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's

1

293

patients, about how many patients would recommend Dr. Gutierrez to their friends and family?

\newline

(Round your answer to the nearest whole number.)

Posted 4 months ago

Question

12

chicken wings in

3

minutes. She eats the chicken wings at a constant rate.

\newline

How many chicken wings can Bao eat in

12

\newline

Posted 4 months ago

Question

The double number lines show the ratio of cups to gallons.

\newline

How many cups are in

3

\newline

Posted 4 months ago