Answer:
The number of blue marbles is 10
Step-by-step explanation:
The correct question is
The ratio of blue to red marbles is 2 to 5. If I have a total of 35 marbles , how many would it be blue
Let
x -----> the number of blue marbles
y -----> the number of red marbles
we know that
[tex]\frac{x}{y}=\frac{2}{5}[/tex] ----> [tex]x=\frac{2}{5}y[/tex] ---> equation A
[tex]x+y=35[/tex] ----> equation B
Substitute equation A in equation B
[tex]\frac{2}{5}y+y=35[/tex]
Solve for y
[tex]\frac{7}{5}y=35[/tex]
[tex]y=35(5)/7\\y=25[/tex]
Find the value of x
[tex]x=\frac{2}{5}(25)=10[/tex]
therefore
The number of blue marbles is 10
