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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