Math  /  Numbers & Operations

QuestionPrice-club sells a 12-ounce package of spaghetti noodles for $3.44\$ 3.44 and Shop Mart sells a 2122 \frac{1}{2}-pound box of spaghettl noodles for $8.35\$ 8.35.
The unit price per ounce at Price-club is \ \squareandtheunitpriceperounceatShopMartis$ and the unit price per ounce at Shop Mart is \$ \square$

Studdy Solution

STEP 1

What is this asking? We need to figure out the price per ounce of spaghetti at two different stores. Watch out! The stores use different units, ounces and pounds, so we need to convert them to compare prices accurately.
Don't mix them up!

STEP 2

1. Calculate Price-club's unit price.
2. Calculate Shop Mart's unit price.

STEP 3

Price-club sells a **12-ounce** package for $3.44\$3.44.
We want to find the price *per ounce*, so we **divide** the total price by the number of ounces.
This is because we want to find out how many dollars correspond to *one* ounce.
We can think of this as dividing by 1212 to get 11 ounce, and we do the same to the price.

STEP 4

$3.4412 ounces$0.2867 per ounce \frac{\$3.44}{12 \text{ ounces}} \approx \$0.2867 \text{ per ounce} So, the unit price at Price-club is approximately $0.29\$0.29 per ounce.

STEP 5

Shop Mart sells a 2122 \frac{1}{2}-pound box for $8.35\$8.35.
First, let's convert the weight to ounces.
Remember, there are **16 ounces** in **1 pound**.

STEP 6

We have 2122 \frac{1}{2} pounds, which is the same as 2.52.5 pounds.
To convert to ounces, we **multiply** by 1616: 2.5 pounds16 ounces1 pound=40 ounces 2.5 \text{ pounds} \cdot \frac{16 \text{ ounces}}{1 \text{ pound}} = 40 \text{ ounces} Notice how the *pounds* units add to zero (or "cancel out"), leaving us with just *ounces*.
Shop Mart's box contains **40 ounces** of spaghetti.

STEP 7

Now, we can find the unit price by **dividing** the total price by the number of ounces, just like we did for Price-club. $8.3540 ounces$0.2088 per ounce \frac{\$8.35}{40 \text{ ounces}} \approx \$0.2088 \text{ per ounce} So, the unit price at Shop Mart is approximately $0.21\$0.21 per ounce.

STEP 8

The unit price per ounce at Price-club is approximately $0.29\$0.29, and the unit price per ounce at Shop Mart is approximately $0.21\$0.21.

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