1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gladu [14]
3 years ago
8

Mr. Steiner needs to purchase 60 AA batteries. A nearby store sells a 20-pack of AA batteries for $12.49 and a 12-pack of the sa

me batteries for $7.20.
i. Would it be less expensive for Mr. Steiner to purchase the batteries in 20-packs or 12-packs?
ii. What is the difference between the costs of one battery from each pack?
Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer:

i. It would be less expensive for Mr. Steiner to purchase the batteries in 12-packs.

ii. The difference between the costs of one battery from each pack is $0.02 or 2 cents.

Step-by-step explanation:

A way to respond to these questions is as follows:

To purchase 60 AA batteries, we have to:

  • Buy 3 20-pack of AA batteries (since 3 * 20-pack = 60 batteries), or
  • Buy 5 12-pack of AA batteries (since 5 * 12-pack = 60 batteries).

We also know that a 20-pack costs $12.49 and a 12-pack costs $7.20.

<h3>Part 1: Which package is less expensive?</h3>

Case 1: How much does it cost <em>3</em> 20-pack of AA batteries?

Three packages cost: <em>3</em> * $12.49 = $37.47

Case 2: How much does it cost <em>5</em> 12-pack of AA batteries?

Five packages cost: <em>5</em> * $7.20 = $36.00

Then, it is less expensive for Mr. Steiner to purchase <em>5</em> 12-packs batteries (which cost $36) than <em>3 20</em>-packs batteries (which cost $37.47).

<h3>Part 2: Difference between the costs of one battery from each pack</h3>

The question we need to answer here is, how much does it cost one battery from each pack?

For this, we need to divide the total costs that we obtained in Part 1 by the total of batteries to be purchased, that is, 60.

Then, for Case 1, the cost of one battery for this purchase is:

\\ \frac{\$37.47}{60battery} = \frac{\$0.62}{battery} or 62 cents per battery.

For Case 2, the cost of one battery for this purchase is:

\\ \frac{\$36.00}{60battery} = \frac{\$0.60}{battery} or 60 cents per battery.

So, the difference between the costs of one battery from each pack is:

62 cents per battery - 60 cents per battery = 2 cents per battery.

Then, one battery from 12-pack is less expensive that one battery from the 20-pack in 2 cents.

You might be interested in
The diagonal of rectangle ABCD measures 2 inches in length What is the length of line segment AB?
sesenic [268]
Unfortunately, this item does not come with any figure to illustrate the lengths of the rectangle. However, it may be noted that by connecting two opposite vertices of a rectangle by a diagonal, we form a right triangle. We may then use the Pythagorean theorem to solve for the answer. 
                                     a² + b² = c²
c in this equation is the length of the diagonal, a and b are the lengths of the sides. 
6 0
3 years ago
Read 2 more answers
Solve u^2 = -4, where u is a real number. Simplify your answer as much as possible.
alexdok [17]

Answer:

2i and -2i

Step-by-step explanation:

I'll change u to x to be easier to understand.

x^2 = -4

sqrt(x^2) = sqrt(-4)

sqrt(-4) = 2i, or -2i

8 0
2 years ago
Who wakes up early if so what time?<br> what is 10^6 AND 60^10?
meriva

Answer:

I wake up around 7:00

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
375 of the students at Haldane Elementary School walk to school. If these
ELEN [110]

Answer:

506

Step-by-step explanation:

do the math

7 0
2 years ago
The Hamid family installed a cylindrical pool in their backyard. The
Alex787 [66]

Answer:

4,046.4 ft^{2}

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • If 75 is 25% of a value, what is that value? A. 300 B. 100 C. 350 D. 225
    13·1 answer
  • 30 oatmeal and 48 chocolate chip cookies package into identical containers so that each container has the same number of each ki
    5·2 answers
  • Round 13.467 to the nearest hundredth
    6·1 answer
  • 40 is 20% of what number?
    6·2 answers
  • 3|x+5|=7<br> Please answer as soon as possible
    5·1 answer
  • How do I solve 3 x 1/4=​
    8·2 answers
  • Andy has 5y dollars. Scott has $12 more then Andy.jacob has 2y dollars less then scott
    8·1 answer
  • This table shows values that represent an exponential function.what is the average rate of change for this function for the inte
    6·1 answer
  • Help me please I need it
    10·2 answers
  • Do Now percent
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!