Math  /  Numbers & Operations

QuestionPractice
1. Mealworms are a healthy food for wild songbirds. Adam buys a 3.5-oz container of mealworms for $8.75\$ 8.75. Marco buys a 3.75-oz container of mealworms for $9.75\$ 9.75. Which container is the better deal?

Studdy Solution

STEP 1

What is this asking? Which container of mealworms costs less per ounce? Watch out! Don't just compare the prices or the weights alone; we need to compare the *unit prices*!

STEP 2

1. Calculate Adam's unit price.
2. Calculate Marco's unit price.
3. Compare the unit prices.

STEP 3

Adam bought 3.53.5 oz of mealworms for $8.75\$8.75.
To find the price *per ounce*, we'll **divide** the total price by the number of ounces.
We're doing this because we want to find out how much *one* ounce costs.
Dividing by 3.53.5 oz gives us the price for *one* ounce.

STEP 4

\frac{\(\$8.75\)}{3.5 \text{ oz}} = \(\$2.50/\text{oz}\) So, Adam paid $2.50\$2.50 per ounce of mealworms.

STEP 5

Marco bought 3.753.75 oz of mealworms for $9.75\$9.75.
Just like we did for Adam, we'll **divide** the total price by the number of ounces to find the price per ounce.
Dividing by 3.753.75 oz will tell us how much *one* ounce costs for Marco.

STEP 6

\frac{\(\$9.75\)}{3.75 \text{ oz}} = \(\$2.60/\text{oz}\) Marco paid $2.60\$2.60 per ounce.

STEP 7

Now, let's see who got the better deal!
Adam paid $2.50\$2.50 per ounce, and Marco paid $2.60\$2.60 per ounce.

STEP 8

Since $2.50\$2.50 is less than $2.60\$2.60, Adam got the better deal!

STEP 9

Adam's container is the better deal, costing him $2.50\$2.50 per ounce compared to Marco's $2.60\$2.60 per ounce.

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