Question

Ms. Check your answers.

1. Two girls went to the store for rice and sugar. One girl bought 3 kilograms of sugar and 2 kilograms of rice for
$3.25. The other girl bought 2 kilograms of sugar and 2 kilograms of rice for $2.50.
Find the price per kilogram
for both the sugar and rice.

I need help please step by step.!

Answer 1

3kg+2kg=5kg
5/$3.25=0.65
price per kg=0.65

Answer 2

Answer:- $0.75 per kg and $0.50 per kg

let the price of sugar and rice be X and y respectively.

now ,

according to question,

3x + 2y = 3.25 $_____eq.(I)

2x + 2y = 2.50 $______eq.(II)

subtracting eq(II) from eq(I) , we get

2y will be cancelled and remains

X = 0.75 $

therefore , the price of sugar = 0.75 $ per kg.

and

substituting X = 0.75 in eq.(II) , we get

2*0.75 + 2* Y = 2.50

or, 2Y = 2.50- 1.50

or,. Y = 1/2= 0.5

hence , the price of rice is 0.5 $ per gram.