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?

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 kg4 dollars and 62 cents = 4.62 dollarsThe 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 candySo, [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.