1. Set up the following word problem as an equation and solve. Then write your answer as a complete sentence. The ratio of two numbers is 3 to 5. Their sum is 136. Find the two numbers.
Let there be two numberss a and b. Then
a : b = 3 : 5 their ratio is 3 to 5
a + b = 136 their sum is 136
From the 1st equation, a/b = 3/5, therefore a = (3/5)*b
Substituting for a = (3/5)*b into the 2nd equation,
(3/5)*b + b = 136 mutliply both sides by 5
3b + 5b = 680
8b = 680
b = 85
a = (3/5*b = (3/5)*85 = 3*17
a = 51
The two numbers are: 51 and 85