Answer:
Answers are in bold.
1) Carlo: 4x, Helen: $3.75
2) 4x + 3 = 2x + 3.75 + 2.75
4x + 3 = 2x + 6.5
4x - 2x + 3 = 2x - 2x + 6.5
2x + 3 = 6.5
2x + 3 - 3 = 6.5 - 3
2x = 3.5
2x/2 = 3.5/2
x = 1.75
3) The cost of each glue stick is $1.75
4) There are no solutions.
Step-by-step explanation:
1) First, we need to form our equation:
(4x + 3) = (2x + 3.75 + 2.75)
Now, we combine like terms:
4x + 3 = 2x + 6.5
Combine like terms again:
2x + 3 = 6.5
Subtract 3 from both sides:
2x + 3 - 3 = 6.5 - 3
Simplfy:
2x = 3.5
Divide 2 from both sides:
x = 1.75
Each glue stick costs $1.75
4) It is the same process, form equation, combine like terms, subtract from both sides, and divide if possible.
3(4x + 1) = 6(2x - 5)
12x + 3 = 12x - 30
3 = -30
3 does not equal -30, therefore there are no solutions.
