Abakery 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.]

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

step-by-step explanation:

i hate black

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

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