Math Help - Percentage question #3.

Question :

Jane bought 5kg of grapes and 10kg of cherries at $82.50.
If Jane were to buy 10kg of grapes and 5kg of cherries, she would only pay $75

If 100grams of grapes cost 45 cents, find the cost of 1kg of cherries.

I don't see the equations you set up to solve this.
Did you forget to post them?

Hi.

Originally Posted by dtay

Question :

Jane bought 5kg of grapes and 10kg of cherries at $82.50.
If Jane were to buy 10kg of grapes and 5kg of cherries, she would only pay $75

If 100grams of grapes cost 45 cents, find the cost of 1kg of cherries.

"Jane bought 5kg of grapes and 10kg of cherries at $82.50."

5*x + 10*y = 82.50 (1), where x is the price of grapes/kg; y price of 1kg cherries.

"If Jane were to buy 10kg of grapes and 5kg of cherries, she would only pay $75"

10*x+5y = 75 (2)

"If 100grams of grapes cost 45 cents, find the cost of 1kg of cherries."

1kg grapes cost 10*0.45 = $4.5 = x. Now substitute this into (1) and (2), you get y=$6, so 1kg of cherries cost $6

Any questions?

Yours
Rapha

Let g=#grapes
Let c=#cherries

Equation 1: 5g+10c=82.5
Equation 2: 10g+5c=75
multiply equation 1 by 2

10g+20c=165
- 10g+5c=75
-----------------
15c=90
c=6
1kg of cherries costs 6 dollars.

(Rapha beat me to it lol)