bob has seven bills, att tens and twnties, the total $100 in value. how many of each bill does he have?
20 + 20 + 20 + 10 + 10 + 10 + 10 = ??
20 + 10 + 10 + 10 + 10 + 10 + 10 + 10+10=???
To solve this problem, let's break it down step by step.
Let's assume that Bob has x tens and y twenties.
The value of each ten-dollar bill is $10, so the total value of the tens is 10x.
The value of each twenty-dollar bill is $20, so the total value of the twenties is 20y.
According to the problem, Bob has a total of seven bills and the total value of all the bills is $100.
So we can write two equations based on the given information:
Equation 1: x + y = 7 (since Bob has a total of seven bills)
Equation 2: 10x + 20y = 100 (since the total value of the bills is $100)
Now, let's solve these equations simultaneously to find the values of x and y.
From Equation 1, we can rearrange it to express x in terms of y:
x = 7 - y
Substituting this value of x into Equation 2:
10(7 - y) + 20y = 100
70 - 10y + 20y = 100
10y = 100 - 70
10y = 30
y = 30/10
y = 3
Now substitute the value of y back into Equation 1 to find x:
x + 3 = 7
x = 7 - 3
x = 4
Therefore, Bob has 4 ten-dollar bills and 3 twenty-dollar bills.