Math  /  Algebra

Question11 Mark for Review
Keenan made 32 cups of vegetable broth. Keenan then filled xx small jars and yy large jars with all the vegetable broth he made. The equation 3x+5y=323 x+5 y=32 represents this situation. Which is the best interpretation of 5y5 y in this context? (A) The number of large jars Keenan filled
B The number of small jars Keenan filled (C) The total number of cups of vegetable broth in the large jars (D) The total number of cups of vegetable broth in the small jars

Studdy Solution

STEP 1

What is this asking? We need to figure out what 5y5y means in the equation 3x+5y=323x + 5y = 32, where Keenan has 32 cups of broth and fills xx small jars and yy large jars. Watch out! Don't mix up what xx and yy represent. xx is the *number* of small jars, and yy is the *number* of large jars.
Also, don't forget that the equation represents the total amount of broth!

STEP 2

1. Analyze the equation
2. Interpret the term

STEP 3

Alright, so we've got this equation 3x+5y=323x + 5y = 32.
Let's break it down!
We know that Keenan made a **total** of 32 cups of broth.
This is our **final result**.

STEP 4

The equation tells us how that broth is distributed into jars.
We've got xx small jars and yy large jars.

STEP 5

Notice that the equation has two parts added together: 3x3x and 5y5y.
These must represent the broth in the small jars and the broth in the large jars, respectively.

STEP 6

Let's focus on 5y5y.
We know yy is the number of large jars.
So, what could 55 represent?

STEP 7

Well, if yy is the number of large jars, then 55 must be the number of cups of broth *in each* large jar!
So, 5y5 \cdot y (or 5y5y) is the **total number of cups** of broth in all the large jars combined.

STEP 8

5y5y represents the total number of cups of vegetable broth in the large jars, so the answer is (C)!

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