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.

Printable View

- Oct 21st 2009, 07:55 PMdtayPercentage 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. - Oct 21st 2009, 08:11 PMWilmer
I don't see the equations you set up to solve this.

Did you forget to post them? - Oct 21st 2009, 08:15 PMRapha
Hi.

"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 - Oct 21st 2009, 08:19 PMcomssa
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)