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
Ivenika [448]
3 years ago
5

10) Beth and Ming are selling pies for a school fundraiser. Customers can buy blueberry pies and

Mathematics
2 answers:
Bad White [126]3 years ago
6 0

Answer:

the cost each of one blueberry pie is $14

and one blackberry pie is $18

Step by step explanation:

Given that;

Beth sold 3 blueberry pies and 12 blackberry pies for a total of $258.

Ming sold 4 blueberry pies and 3 blackberry pies for a total of $110.

Let x represent the cost of blueberry pies and y the cost of blackberry pie.

3x + 12y = 258 ........1

4x + 3y = 110 ..........2

To solve the simultaneous equations;

Multiply equation 2 by 4, equation 2 becomes;

16x +12y = 440 .......3

Subtract equation 1 from 3;

16x-3x + 12y-12y = 440-258

13x = 182

x = 182/13 = 14

Substituting x=14 to equation 2

4(14) + 3y = 110

3y = 110 - 4(14)

3y = 54

y = 54/3

y = 18

the cost each of one blueberry pie is $14

and one blackberry pie is $18

Lapatulllka [165]3 years ago
4 0

Answer: Each blueberry pie costs $14 and each blackberry pie costs $18.

Step-by-step explanation:

If X is the price of a blueberry pie and Y is the price of a blackberry pie we have that:

3*X + 12*Y = $258

4*X + 3*Y = $110

We have a system of equations, to solve it first we can isolate one of the variables in one of the equations, let's isolate X in the first equation.

3*X = $258 - 12*Y

X = $258/3 - (12*Y)/3 = 86  - 4*Y

now we can replace it in the second equation and get:

4*(86 - 4*Y) + 3*Y = 110

344 - 16Y + 3Y = 110

344 - 13Y = 110

13Y = 344 - 110 = 234

Y = 234/13 = 18

So each blackberry pie costs $18.

And we can replace it in the equation for X and get the value of X.

X = 86 - 4*Y = 86 - 4*18 = 14

So the price of a blueberry pie is $14.

You might be interested in
penny owes her uncle a dollar. She then borrows 4 more dollars from her uncle, but eventually pays him back 3 dollars. How much
alisha [4.7K]
So she starts out with -1 dollars. Then she borrows 4 more and gets to -5 dollars. If she pays him back 3 dollars, she is left still owing him 2 dollars as her balance is at -2 dollars.

-1 - 4 + 3 = x

X = -2
4 0
3 years ago
Read 2 more answers
Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't
N76 [4]

Answer:

I believe its $5492.99

Step-by-step explanation:

First I divided $160 by 3%.

Than I multiplied my answer by 1.03.

4 0
4 years ago
Read 2 more answers
John runs a computer software store. Yesterday he counted 123 people who walked by the store, 56 of whom came into the store. Of
vaieri [72.5K]

Answer:

a) There is a 45.53% probability that a person who walks by the store will enter the store.

b) There is a 41.07% probability that a person who walks into the store will buy something.

c) There is a 18.70% probability that a person who walks by the store will come in and buy something.

d) There is a 58.93% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

This a probability problem.

The probability formula is given by:

P = \frac{D}{T}

In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.

The problem states that:

123 people walked by the store.

56 people came into the store.

23 bought something in the store.

(a) Estimate the probability that a person who walks by the store will enter the store.

123 people walked by the store and 56 entered the store, so T = 123, D = 56.

So

P = \frac{D}{T} = \frac{56}{123} = 0.4553

There is a 45.53% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

56 people came into the store and 23 bought something, so T = 56, D = 23.

So

P = \frac{D}{T} = \frac{23}{56} = 0.4107

There is a 41.07% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

123 people walked by the store and 23 came in and bought something, so T = 123, D = 23.

So

P = \frac{D}{T} = \frac{23}{123} = 0.1870

There is a 18.70% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:

D = 33, T = 56

P = \frac{D}{T} = \frac{33}{56} = 0.5893

There is a 58.93% probability that a person who comes into the store will buy nothing.

8 0
3 years ago
If a = -2.6, what is the value of -a
7nadin3 [17]

if a = -2.6

then -a = -(-2.6)

so -a =2.6

8 0
3 years ago
Read 2 more answers
What is 1/3 of 1/9 of a ton?<br><br> Make sure your answer is fully reduced
natulia [17]

Answer:

0.03703703703

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Please Help!!!!!
    7·2 answers
  • The value of x is? also can you explain how to do this?
    5·1 answer
  • Please help!<br><br> Solve:<br><br> 2/3 + x = 3
    9·1 answer
  • How do you decrease £840 by 5%
    10·2 answers
  • In the figure to the right, if AC = 15 and BC = 12, what is the radius?
    12·1 answer
  • Determine the volume of a cube whith a side lenght of 4cm
    9·2 answers
  • In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it tak
    12·1 answer
  • A normal population has mean and standard deviation . (a) What proportion of the population is greater than ? (b) What is the pr
    12·1 answer
  • Evaluate the expression if p = 1, r= -7, and s = -2.
    15·1 answer
  • Natalie was out at a restaurant for dinner when the bill came. Her dinner came to $29. After adding in a tip, before tax, she pa
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!