Write an equation to solve each problem. Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother ha s $15 more than the other. How much has each saved?

Write an equation to solve each problem. Two brothers are saving money to buy tickets to a concert. Their combined savings is $55. One brother ha s $15 more than the other. How much has each saved?

Question
Equations
asked 2020-11-09
Write an equation to solve each problem. Two brothers are saving money to buy tickets to a concert. Their combined savings is \(\$55\). One brother ha s \(\$15\) more than the other. How much has each saved?

Answers (1)

2020-11-10
Now x = the first brother and y = second brother.
Their combined \(x + y = 55\)
One brother has 15 more than the other. \(x = y - 15\)
Let, solve the two equation together by substitute \((y-15)+y=55\). Place the values of x from the second equation
\(y-15+y=55\)
\(2y-15=55\)
\(2y=55+15\) Move -15 to the order side
\(2y=70\)
\(\frac{2y}{2}=\frac{70}{2}\) Divide by -4
\(y=35\) and \(x = 35 - 15 = 20\) One of the two brother has 35 and the other has 20
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