173k views
1 vote
Arun runs a farm stand that sells raspberries and grapes. Each pound of raspberries

sells for $1.50 and each pound of grapes sells for $2.75. Arun made $130.25 from
selling a total of 66 pounds of raspberries and grapes, Determine the number of
pounds of raspberries sold and the number of pounds of grapes sold.

2 Answers

5 votes

Answer:

There were 41 pounds of raspberries sold and 25 pounds of grapes sold.

Explanation:

User SimonW
by
5.3k points
1 vote

Answer:

41 pounds of raspberries and 25 pounds of grapes

Explanation:

x = pounds of raspberries
y = pounds of grapes

1.50x + 2.75y = 130.25
x + y = 66 --> y = -x + 66

Substitute and solve for x:
1.50x +2.75(-x +66) = 130.25
1.50x - 2.75x + 181.5 = 130.25
150x - 275x + 18150 = 13025
-125x +18150 = 13025
-125x = -5125
x = 41

Substitute x to find y:
41 + y = 66
y = 25

User Pippobaudos
by
5.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.