A sandwich shop is ordering apples and grapes to make chicken salad.Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and pair $35.80. How many pounds of grapes did they order?

Respuesta :

Answer:

Grapes=19.51

Step-by-step explanation:

Apples=$2.19 per pound

Grapes=$2.60 per pound

Apples+Grapes=20 pounds

A+G=20

A=20-G

Equation is

PaA+PgG=35.80

2.19A+2.60G=35.80

2.19(20-G)+2.60G=35.80

43.8-2.19G+2.60G=35.80

43.8-0.41G=35.80

-0.41G=35.80-43.8

-0.41G=-8

Divide both sides by 0.41

G=19.51 pounds

Recall

A=20-G

A=20-19.51

A=0.49 pounds

They ordered 19.51 pounds of grapes.

let us say they ordered 'x' pound of grapes.

so, the quantity of apples ordered = (20-x) pound

it is given that

cost of the apple= $2.19 per pound

cost of the grapes= $2.60 per pound

according to the given scenario,

total cost = $35.80

What will be the total cost?

the total cost will be the sum of the cost of apples as well as grapes.

2.60x + 2.19(20-x) =35.80

-0.41x = 8

x = -19.51 pounds

therefore, they ordered 19.51 pounds of grapes.

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https://brainly.com/question/13818690