1/24/24, 4:19 PM
HW 2.1 Ratios and Proportions-Maria Huerta
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Student: Maria Huerta
Date: 01/24/24
Instructor: Dania Sinibaldi
Course: Quantitative Reasoning O06B SP24
Assignment: HW 2.1 Ratios and Proportions
Set up and solve a proportion for the following application problem. If pounds of grass seed cover square feet, how many pounds are needed for square feet?
6
290
5220
Step 1: Read the problem.
It is about how many pounds of grass seed are needed to cover a certain area.
Unknown: Pounds needed for square feet.
5220
Known: pounds of grass seed cover square feet.
6
290
Step 2: Assign a variable.
There is only one unknown, so let x
pounds needed for square feet.
=
5220
Step 3: Write an equation.
The equation is in the form of a proportion. Decide what is being compared. This problem compares pounds to square feet.
Write the two rates described in the problem.
=
6 pounds
290 square feet
x pounds
5220 square feet
Step 4: Solve the equation.
Ignore the units while finding the cross products.
x
290 •
= 6 • 5220
Show that the cross products are equivalent.
x
290
= 31320
Divide both sides by .
290
=
290x
290
31320
290
x = 108
Step 5: State the answer.
pounds of grass seed are needed to cover square feet.
108
5220
