Answer:
they must sell approximately 166.67 (or rounded up to 167) $6 tickets to make a profit if they spent their entire budget.
Step-by-step explanation:
a. To represent the amount of money left to spend, we can subtract the amount spent from the initial budget. Let's denote the amount of money left as "x". The equation would be:
x = $1000 - $350
To solve this equation, we simply subtract $350 from $1000:
x = $650
Therefore, there is $650 left to spend.
b. After spending $225 on decorations, we need to update the equation to represent the new amount of money left. Let's denote the new amount of money left as "y". The equation would be:
y = x - $225
Substituting the value of x from the previous calculation:
y = $650 - $225
To solve this equation, we subtract $225 from $650:
y = $425
Therefore, after spending $225 on decorations, there is $425 left to spend.
c. If the Student Council spent their entire budget, the equation to represent how many $6 tickets they must sell to make a profit can be written as:
6t = $1000
Here, "t" represents the number of tickets they must sell. To solve this equation for "t", we divide both sides by 6:
t = $1000 / 6
Using long division, we find that:
t ≈ 166.67
Therefore, they must sell approximately 166.67 (or rounded up to 167) $6 tickets to make a profit if they spent their entire budget.
I hope this helps! Let me know if you have any further questions.
