Question

The price of 600 grams of candy and 1.5 kg of cookies was 4 dollars and 62 cents. What is the price of one kg of cookies if it is 1 dollar and 40 cents cheaper than 1 kg of candy? (1 kg = 1,000g)

Answer 1

Answer:

The price of the kilogram of cookies is $ 1.8

Step-by-step explanation:

Call x the price of the kilogram of candy and call y the price of kilogram of cookies

Then we know that

$0.600x + 1.5y = 4.62$

We also know that the price of kilogram of cookies is 1.40 dollars cheaper than the kilogram of candy

So

$y = x-1.40$

We solve this equation for x and then we substitute it in the first equation.

$x = y + 1.40$

$0.60 (y +1.40) + 1.5y = 4.62\\\\0.60y + 1.5y = 4.62 - 0.84\\\\2.1y = 3.78$

$y = \ 1.8$