Answer:
It costs $42.43
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of [tex]\frac{5}{6}[/tex] kilogram of candy is $7.5
- We need to find the cost of [tex]4\frac{5}{7}[/tex] kilogram
We can use the ratio to find the answer
======= Dollar : Kilogram
======= 7.5 : [tex]\frac{5}{6}[/tex]
======= c : [tex]4\frac{5}{7}[/tex]
By using cross multiplication
∴ c × [tex]\frac{5}{6}[/tex] = 7.5 × [tex]4\frac{5}{7}[/tex]
∵ [tex]4\frac{5}{7}[/tex] = [tex]\frac{4*7+5}{7}[/tex]
∴ [tex]4\frac{5}{7}[/tex] = [tex]\frac{33}{7}[/tex]
∴ c × [tex]\frac{5}{6}[/tex] = 7.5 × [tex]\frac{33}{7}[/tex]
∴ c × [tex]\frac{5}{6}[/tex] = [tex]\frac{495}{14}[/tex]
Divide both sides by [tex]\frac{5}{6}[/tex]
∴ c = [tex]\frac{495}{14}[/tex] ÷ [tex]\frac{5}{6}[/tex]
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c = [tex]\frac{495}{14}[/tex] × [tex]\frac{6}{5}[/tex]
∴ c = [tex]\frac{297}{7}[/tex] = 42.43 dollars
∵ c represents the cost of [tex]4\frac{5}{7}[/tex] kg
∴ It costs $42.43
