A recipe for soup calls for 6 tablespoons of lemon juice and 1/2 cup of olive oil. The given recipe serves 3 people, but a cook wants to make a larger batch that serves 90. a) How many cups of lemon juice will the chef need for the larger batch? b) How many pints of olive oil will the chef need for the larger batch?

a. The chef needs 11.25 cups of lemon juice to serve 90 people

b. The chef needs 7.5 pints of olive oil to serve 90 people

Step-by-step explanation:

6 tablespoons of lemon juice and 1/2 cup of olive oil = 3 servings

A cook wants to make a larger batch that serves 90.

6 tablespoons of lemon juice = 3 servings

1/2 cup of olive oil = 3 servings

a) How many cups of lemon juice will the chef need for the larger batch?

Find the ratio of lemon juice to solve the question

6 tablespoons of lemon juice : 3 servings = x : 90 servings

6 : 3 = x : 90

6/3 = x/90

Cross multiply

6 * 90 = 3 * x

540 = 3x

Divide both sides by 3

x = 540 / 3

= 180 tablespoons of lemon juice

There are 16 tablespoons in a cup

180 tablespoons of lemon juice

= 11.25 cups of lemon juice

The chef needs 11.25 cups of lemon juice to serve 90 people

b. How many pints of olive oil will the chef need for the larger batch?

Find the ratio of olive oil

1/2 cup of olive oil : 3 servings = x : 90 servings

1/2 ÷ 3 = x / 90

1/2 × 1/3 = x / 90

1/6 = x / 90

Cross multiply

1 * 90 = 6 * x

90 = 6x

Divide both sides by 6

x = 90 / 6

= 15 cups of olive oil

1 cup = half pint

15 cups = 7.5 pints

Therefore, the chef needs 7.5 pints of olive oil to serve 90 people

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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step-by-step explanation: