Tom and Jasper have the same percentage of blue marbles in their bags of marbles. Tom has 5 blue marbles and 20 total marbles. Jasper has 12 blue marbles. How many of Jasper's marbles are not blue?

Respuesta :

MsRay

Answer:

36 marbles are not blue

Step-by-step explanation:

Given Tom's ratio of 5 blue marbles out of 20 total marbles:

[tex]\frac{blue}{total}=\frac{5}{20}=\frac{1}{4}[/tex]

Since Tom and Jasper have the same ratio/percentage of blue marbles, we can first find the total amount of marbles that Jasper has:

[tex]\frac{12}{x}=\frac{1}{4}[/tex]

Cross-multiply: x = 12(4) or x = 48

If Jasper has 48 total marbles and 12 are blue, the amount of marbles that are not blue:

48 - 12 = 36 marbles