Answer:
x = 1 1/4
Step-by-step explanation:
6x - 1 = -2x + 9
Move the x to one side and the numbers to the other side:
8x = 10
Simplify:
x = 10/8 = 5/4 = 1 1/4
The two numbers are 12 and 16. 12 + 6 = 18. 6 doubled is 12. 12 plus 6 equals 18.
A jazz band sells 31 large boxes of fruit and 74 small boxes of fruit for a fundraiser.
a. Write and simplify an equation using distributive property to find the profit.
b. A large box of fruit costs $9 and a small box of fruit costs $4. What is the Jazz's band profit?
Profit = Price - Cost
Large Fruit Box:
Price $20
Cost $x
Small Fruit Box
Price $10
Cost $y
Answer: she played 5 games and went on 8 rides
Step-by-step explanation:
Let x represent the number of games that Sydney played.
Let y represent the number of rides that Sydney went on.
Each game cost $1.25 and each ride cost $2.25. If Sydney spent $24.25 altogether at the carnival, then the expression is
1.25x + 2.25y = 24.25- - - - - - - - - - -1
If the number of rides that she went on is 3 more than the number of games that she played, the expression would be
y = x + 3
Substituting y = x + 3 into equation 1, it becomes
1.25x + 2.25(x + 3) = 24.25
1.25x + 2.25x + 6.75 = 24.25
3.5x = 24.25 - 6.75
3.5x = 17.5
x = 17.5/3.5
x = 5
y = x + 3 = 5 + 3
y = 8
