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
Marysya12 [62]
3 years ago
8

A bakery sells doughnuts for $1.00, muffins for $1.50 bagles for $1.20. The bakery makes three times as many doughnuts as bagels

. If the bakery sells all 130 items in stock, they earn a total of $150. How many items are in stock at the bakery? Justify your answer. [Hint: use D for the # of doughnuts, M for the # of muffins and B for the # of bagels.]
Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0

ANSWER

As given in the question

use D for the number of doughnuts,

M for the number of muffins and B for the number of bagels.

 The bakery makes three times as many doughnuts as bagels

equations becomes

D = 3B

bakery sells all 130 items in stock

equations becomes

D + B + M = 130

Bakery earn a total of $150

equations becomes

1.00D + 1.50M+ 1.20B = 150

On simplier terms

1D + 1.5M + 1.2B = 150

three equation are become in the form

D = 3B

D + B + M = 130

1D + 1.5M + 1.2B = 150

subract D + B + M = 130 equation from  1D + 1.5M + 1.2B = 150

1D -1D + 1.5M -M + 1.2B -1B = 150 -130

0.5M + 0.2B = 20

in simple form

5M + 2B = 200

Put D = 3B in the equation D + B + M = 130

we get

4B + M = 130

Now multiply 4B + M = 130 by 5 and subtracted from 5M + 2B = 200

5M - 5M + 2B - 20 B = 200 - 650

-18 B = - 450

B = 25

Put this value in the D = 3B

we get

D = 25×  3

  = 75

Put the value of D and B in the equation  D + B + M = 130 .

75 + 25 + M= 130

130 - 100 = M

M = 30

items are in stock at the bakery is doughnuts = 75 , muffins = 30 ,  bagels = 25.

Hence proved


You might be interested in
The government's power to tax and spend to influence the economy is called...
Ivan
B. Fiscal Policy. Hope that helps you. 
8 0
3 years ago
Two vertices of a right triangle have coordinates (3, 7) and (3, 10) . The segment that connects these points is a leg of the tr
vesna_86 [32]
(7,8) I think is the answer your looking for
3 0
3 years ago
Read 2 more answers
*NEED ANSWER ASAP* *GIVING AWAY 10 POINTS*
podryga [215]

Answer: A horseshoe weighs 8.2 ounces The nails in the horseshoe weigh 0.12 ounces.

Step-by-step explanation: B should be your answer have a great day :)

8 0
3 years ago
Read 2 more answers
A. The actual building height will be 596 ft tall. You want your model to be 3 ft tall. What will the scale factor be? For this
Reil [10]

Answer:

mulltiply

Step-by-step explanation: you mulitply all

7 0
3 years ago
Y=-x^2+2x+10<br> y=x+2<br><br> Substitution <br> Please show your work<br> Need ASAP
erik [133]

Answer:

The solutions of the system of equations are the points

(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})  

(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})  

Step-by-step explanation:

we have

y=-x^{2} +2x+10 ----> equation A

y=x+2 ----> equation B

Solve the system by substitution

substitute equation B in equation A

x+2=-x^{2} +2x+10

solve for x

-x^{2} +2x+10-x-2=0

-x^{2} +x+8=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-x^{2} +x+8=0

so

a=-1\\b=1\\c=8

substitute in the formula

x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}

x=\frac{-1\pm\sqrt{33}} {-2}

x=\frac{-1+\sqrt{33}} {-2}  -----> x=\frac{1-\sqrt{33}} {2}  

x=\frac{-1-\sqrt{33}} {-2}  -----> x=\frac{1+\sqrt{33}} {2}  

<em>Find the values of y</em>

For x=\frac{1-\sqrt{33}} {2}  

y=x+2

y=\frac{1-\sqrt{33}} {2}+2  ---->y=\frac{5-\sqrt{33}} {2}  

For x=\frac{1+\sqrt{33}} {2}  

y=x+2

y=\frac{1+\sqrt{33}} {2}+2  ---->y=\frac{5+\sqrt{33}} {2}  

therefore

The solutions of the system of equations are the points

(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})  

(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})  

5 0
3 years ago
Other questions:
  • Question 1
    10·1 answer
  • What 2 numbers can you multiply to get 31? can 31 get into smaller groups?
    13·1 answer
  • Need help ASAP !!!!
    5·1 answer
  • A Statistics exam is created by choosing for each question on the exam one possible version at random from a bank of possible ve
    9·1 answer
  • The rectangle is divided into equal parts. what is the name of the equal parts
    13·1 answer
  • Five times the sum of a number and 13 is 20. Find the number
    8·2 answers
  • Solving system with substitution
    14·1 answer
  • O dobro de um número, aumentado de 15, é igual a 49.<br> Qual é esse número?
    12·1 answer
  • The mod told me to put harder questions so here's a harder question:<br> 2x+12= 24 what is x
    6·2 answers
  • Help ill give brainlest
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!