Math  /  Numbers & Operations

QuestionWhich is the better buy?
3-pound bag of gravel for $5.81\$ 5.81
8-pound bag of gravel for $15.18\$ 15.18
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Unit prices with customary unit conversions

Studdy Solution

STEP 1

What is this asking? Which bag of gravel gives you more gravel for your $\$? Watch out! Don't get tricked by the bigger bag always being the better deal!
Sometimes, smaller bags can be surprisingly cheaper per pound.

STEP 2

1. Calculate the unit price of the 3-pound bag.
2. Calculate the unit price of the 8-pound bag.
3. Compare the unit prices.

STEP 3

We want to find the price *per pound*.
This 3-pound bag costs $5.81\$5.81.
So, we're going to **divide** the total price by the number of pounds to get the price per pound!

STEP 4

$5.813 pounds=$1.93666... per pound \frac{\$5.81}{3 \text{ pounds}} = \$1.93666... \text{ per pound} Rounding to the nearest cent, we get $1.94\$1.94 per pound.
That's our **unit price** for the small bag!

STEP 5

Now, let's do the same thing for the big bag!
It costs $15.18\$15.18 and weighs 8 pounds.
We'll **divide** the total price by the number of pounds again!

STEP 6

$15.188 pounds=$1.8975 per pound \frac{\$15.18}{8 \text{ pounds}} = \$1.8975 \text{ per pound} Rounding to the nearest cent, we get $1.90\$1.90 per pound.
That's the **unit price** for the big bag!

STEP 7

Alright, we've got our two unit prices: $1.94\$1.94 per pound for the small bag and $1.90\$1.90 per pound for the big bag.
Which one is smaller?

STEP 8

$1.90\$1.90 is smaller than $1.94\$1.94!
That means the 8-pound bag is the better deal!
You're getting more gravel for your buck!

STEP 9

The 8-pound bag for $15.18\$15.18 is the better buy!

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