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Simora [160]
3 years ago
14

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

Mathematics
2 answers:
Alina [70]3 years ago
5 0

Answer:

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.

Step-by-step explanation:

Arturiano [62]3 years ago
5 0

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?

<u>Donny's Bagels</u>

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.

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2 years ago
suppose that you plan on taking a summer job selling magazines subscriptions . the magazine company will help you pay $0.75 for
alina1380 [7]

<u>Answer:</u>

Money earned by selling 175 magazine subscriptions will be 3176.25

<u>Solution: </u>

Given that you are planning to take a summer job selling magazine subscription.

For first subscription, magazine company will help you to pay $0.75

For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.

So for second subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 1

And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2

Generalizing for nth subscription we get

Payments for nth subscription = 0.75 + 0.20(n-1)

so here we can see that arithmetic sequence is formed, having first term

a_1 = 0.75 and common difference = d = 0.20  

We need to determine sum of above arithmetic sequence for n = 175

<u><em>Formula for sum of arithmetic sequence is as follows </em></u>

\mathrm{S}_{\mathrm{n}}=\frac{n}{2}[2 a+(n-1) d]

In our case n = 175, a = 0.75, d = 0.20

\begin{array}{l}{=>\mathrm{S}_{175}=\frac{175}{2}[(2 \times 0.75)+(175-1) 0.20]} \\\\ {=>\mathrm{S}_{175}=\frac{175}{2}[1.5+(174 \times 0.20)]} \\\\ {\Rightarrow \mathrm{S}_{175}=\frac{175}{2} \times 36.3=3176.25}\end{array}

Hence money earn by selling 175 magazine subscriptions will be 3176.25

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