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Four people have these amounts of money: x, 2x, x + 12, and x - 3
Four people have these amounts of money: x, 2x, x + 12, and x - 3.
a. Write an algebraic expression that gives the total amount of money they have.
b. Write an expression that gives each person's share if they share the money equally.
c. Write an expression that gives the total remaining if each person spends $15.
d. If the four people originally had a total of $119, how much did each person have?
e. Describe a situation that leads to the equation 5x+9= $36, and then solve the equation and use it to explain the situation.
Expert Solution
Answer:
a)
expression for total amount is
x + 2x + x+ 12 + x - 3
| 5x + 9 |
b)
each persons share is equal
| ( 5x + 9) / 4 |
c)
each person spends 15
x - 15 + 2x - 15 + x + 12 - 15 + x - 3 -15
| 5x - 21 |
d)
5x + 9 = 119
5x = 110
x = 22
| each person had $ 22 |
e)
5x + 9 = 36
| total amount of money they have is $ 36 |
5x + 9 = 36
5x = 27
x = 27/5
| each person had $ 5.4 |
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