Answer:
1)
a) 6x+3 = 27
b) x=4
c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.
2)
a) 3x + 6 = 27
b) x= 7
c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.
3)
a) 27x + 3 = 6
b) x= 1/9
c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture
Explanation:
1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.
a) Decide which equation represents each story. What does x represent in each equation?
Let x be price of one ticket.
The equation will be: 6x+3 = 27
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
6x+3=27
6x=27-3
6x=24
x=24/6
x=4
So, we get x = 4
c. What does each solution tell you about its situation?
We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.
2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
a) Decide which equation represents each story. What does x represent in each equation?
Let x be amount of juice poured.
The equation will be: 3x+6 = 27
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
3x+6=27
3x=27-6
3x=21
x=21/3
x=7
So, we get x = 7
c. What does each solution tell you about its situation?
We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.
3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
a) Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.
Let x be time spend on each picture frame.
The equation will be: 27x+3=6
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
27x+3=6
27x=6-3
27x=3
x=3/27
x=1/9
So, we get x = 1/9
c. What does each solution tell you about its situation?
We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture