Question

Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00.

Which is the better deal? What fractions do you compare to find the better deal? Will the deal have a lower or higher ratio of dollars per bagel?

Answer 1

Which is the better deal?

First, you have to get the 10 and 4 to the same number.

10 x 4 = 40

4 x 10 = 40

Then, you multiply $11 by the same number as the 10.

Now multiply $3 by the same number as the 4.

$11 x 4 = $44

$3 x 10 = $30

So, which one has the lowest prize?

Donny's Bagels

What fractions do you compare with the better deal?

Bob's Bagels: 44/40

Donny's Bagels: 30/40

Now, you'll have to make these fractions as low as possible.

Bob's Bagels:

44 divided by 4 = 11

40 divided by 4 = 10

Donny's Bagels:

30 divided by 5 = 6

40 divided by 5 = 8

The fractions are: 11/10 and 6/8. But, 11/10 is an improper fraction.

To make it a mixed number, you'll have to follow these steps:

1. Divide the numerator by the denominator: 11 divided by 10 = 1.1
2. Write down the whole number answer: 1
3. Then write down any remainder above the denominator: 1 1/10

Bob's Bagels fraction: 1 1/10

Will the better deal have a lower or higher ratio of dollars per bagel?

The better deal will have a lower ratio of dollars per bagel.

Answer 2

The better deal is 4 bagels for $3.00.

The fractions you would compare would be:

11 / 10 = 1.10 and

3 / 4 = 0.75

A "deal" would refer to the better value. In this case the better deal has a lower ratio of dollars to bagels.

Explanation: