Problema Solution
The ratios of the number of Sam's marbles to the number of Winston's marbles was 8:3.
After Sam gave 45 marbles to Winston, they had the same number of marbles. How many marbles did Sam have at first?
Answer provided by our tutors
let
s = the number of marbles Sam had
w = the number of marbles Winston had
The ratios of the number of Sam's marbles to the number of Winston's marbles was 8:3
s : w = 8 : 3
3s = 8w
After Sam gave 45 marbles to Winston, they had the same number of marbles
s - 45 = w + 45
by solving the system of equations
3s = 8w
s - 45 = w + 45
we find
s = 144 marbles
w = 54 marbles
click here to see the step by step solution of the system of equations
Sam had 144 marbles at first.