We need a system of equations here, one equation based on the NUMBER of tickets sold and another based on the MONEY earned by the sales. We have 2 different types of tickets: full price (f) and discount (d). The total number of tickets sold is 428; therefore, the first equation is f + d = 428. That accounts for the number of tickets sold. Each full price is 10.25 which can be represented as 10.25f, and each discount ticket costs 8 which can be represented as 8d. The money earned by selling these tickets at those prices was 3946. That means that the second equation is 10.25f + 8d = 3946. We will solve the first bolded equation for f to get f = 428 - d. Sub that value in for f in the second bolded equation: 10.25(428-d) + 8d = 3946. Distribute to get 4387 - 10.25d + 8d = 3946. Combine like terms to get -2.25d = -441. Solving for d we get 196. That means that there were 196 discounted tickets sold. Put that in for d in the first bolded equation to find the number of full price tickets. f + 196 = 428, and f = 232. There were 232 full price tickets sold. There you go!
Answer:
C. y = x + 2
Step-by-step explanation:
2 is being added onto both sides
6.5*6.5=42.25
1.5*1.5=2.25
(6.5)^2-(1.5)^2=42.25-2.25=40
5 < 3h + 2 < = 11
subtract 2 from the left, center and right
3 < 3h < = 9
divide by 3 on the left, center, and right
1 < h < = 3
Answer:
Step-by-step explanation:
the recipe ratio is 2b:7y so we’ll call that one portion
Let’s see which paint will restrict the ratio:
Yellow: If there are 49 ounces of yellow left then divide that by 7 to find out how many portions she has so 49/7=7
This means the artist can do the recipe 7 times with the amount of yellow she has
Blue: she has 12 ounces of blue paint left so divide that by a single portion of blue for one recipe so 12/2= 6
This means the artist can only make 6 portions of perfect green paint in proportion to the single recipe
So how much yellow does she need to use based on the amount of blue she has left
She can do 6 portions so 7y*6= 42y
So the artist can use 12b and 42y together so add them to get 54 ounces of green paint is the most she can make and she will use the new recipe 12b for 42y to make it
Let me know if you have any questions and I hope this helps! :)