Answer:
The price of one kg of cookies is $1.8.
Step-by-step explanation:
Given : The price of 600 grams of candy and 1.5 kg of cookies was 4 dollars and 62 cents.
To find : What is the price of one kg of cookies if it is 1 dollar and 40 cents cheaper than 1 kg of candy?
Solution :
Let x be the price of the kilogram of candy and
y be the price of kilogram of cookies.
The price of 600 grams of candy and 1.5 kg of cookies was 4 dollars and 62 cents.
600 grams = 0.6 kg
4 dollars and 62 cents = 4.62 dollars
The equation form is
[tex]0.6x + 1.5y = 4.62[/tex] .....(1)
The price of one kg of cookies if it is 1 dollar and 40 cents cheaper than 1 kg of candy
So, [tex]y = x-1.40[/tex] ......(2)
Solving equation (1) and (2),
Substitute y from (2) into (1)
[tex]0.6x + 1.5(x-1.40) = 4.62[/tex]
[tex]0.6x + 1.5x-2.1 = 4.62[/tex]
[tex]2.1x=6.722[/tex]
[tex]x=\frac{6.722}{2.1}[/tex]
[tex]x=3.2[/tex]
Substitute in (2),
[tex]y = x-1.40[/tex]
[tex]y = 3.2-1.40[/tex]
[tex]y = 1.8[/tex]
Therefore, The price of one kg of candy is $3.2 and the price of one kg of cookies is $1.8.
