Answer:
The number of ten-dollar bills is 44
Explanation:
we can transform this verbal problem into a system of equations:
Consider
F the number of fives and T the number of tens.
He has a total of 136 bills
means
F + T = 136
The total value of the money is $900
means
5F + 10T = 900
Now ,we got a system to solve:
F + T = 136
5F + 10T = 900
Let’s proceed by elimination:
F + T = 136
5F + 10T = 900
Then
5F + 5T = 5×136 = 680
5F + 10T = 900
Then
5F + 5T = 680 (Equation 1)
5F + 10T = 900 (Equation 2)
(2) - (1) ⇒ 5T = 900 - 680 = 220
⇒ 5T = 900 - 680 = 220
⇒ T = 220/5
⇒ T = 44
Since F = 136 - T then F = 136 - 44 = 92