Respuesta :
Answer:
(C) 40
Step by step explanation:
Let x represent number of stamps.
We have been given that the number of stamps that Kaye and Alberto had were in the ratio of 5:3 respectively.
We can represent this information in an equation as:
[tex]\frac{\text{Kaye}}{\text{Alberto}}=\frac{5x}{3x}[/tex]
We are also told that after Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.
We can represent this information in an equation as:
[tex]\frac{5x-10}{3x+10}=\frac{7}{5}[/tex]
Cross multiply:
[tex]5(5x-10)=7(3x+10)[/tex]
[tex]25x-50=21x+70[/tex]
[tex]25x-21x-50+50=21x-21x+70+50[/tex]
[tex]4x=120[/tex]
[tex]x=\frac{120}{4}=30[/tex]
To find the the number of stamps that Kaye has more than Alberto after giving 10 stamps to Alberto, we will use an expression as:
[tex](5x-10)-(3x+10)[/tex]
[tex](5(30)-10)-(3(30)+10)\Rightarrow (150-10)-(90+10)=(140)-100=40[/tex]
Therefore, Kaye have 40 stamps more than Alberto and option C is the correct choice.
