Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
Answer: The expenses of the fundraiser is $1500
Step-by-step explanation:
P(n) models the fundraiser's profit (in dollars) where n represents the number of tickets that are sold. The equation is expressed as
P(n) = 70n - 1500
A negative profit means the expenses exceeded the income from tickets. Looking at the model, for the charity organization to make profits, the product of the number of tickets sold and the cost per ticket must exceed $1500. If it is below $1500, then it is a negative profit. This means that the expenses is $1500
15 miles is five times 3 miles.
It will take 40*5=200 minutes to go 15 miles.
200 minutes = 3+20/60 hours = 3hrs 20min
Answer:
3 • (2x + 3) • (x + 1)
Step-by-step explanation:
Answer: y=2x-4
Step-by-step explanation:
8x-4y=16 subtract 8x from both sides
-4y=-8x+16 now divide -4 by both sides
y=2x-4
