Problema Solution

One boy has 5 times as many marbles as a second boy. If the first were to give 18 marbles to the second,each would then have the same amount.How many marbles has each?

Answer provided by our tutors

let


x = the number of marbles the first boy has


y = the number of marbles the second boy has


One boy has 5 times as many marbles as a second boy


x = 5y


If the first were to give 18 marbles to the second,each would then have the same amount:


x - 18 = y + 18


by solving the system of equations:


x = 5y


x - 18 = y + 18


we find:


x = 45 marbles


y = 9 marbles


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the first boy has 45 marbles while the second has 9 marbles.