tickets for a football match are sold at $30 for adults and $15 for children a company bought 28 tickets

if x of these tickets were for adults, write in terms of x
a. the number of tickets for children
b. the amount spent on tickets for adults
c. the amount spent on tickets for children
d show that the total amount spent on the 28 tickets is $(15x+420)
e. given that the cost of the 28 tickets was $660, calculate the number of adult tickets bought by the company

These questions almost answer themselves. For example:

a) 28 - x
b) 30 x
c) 15(28 -x)
d) 30x +15(28-x) = _____
e) Solve 15x + 420 = 660 to get x

Do some thinking; show your work.

sam, im 9 years late but no.

a. The number of tickets for children can be represented as (28 - x).

b. The amount spent on tickets for adults can be calculated by multiplying the price of each adult ticket ($30) by the number of adult tickets (x), so it would be 30x.

c. The amount spent on tickets for children can be calculated by multiplying the price of each child ticket ($15) by the number of child tickets (28 - x), so it would be 15(28 - x).

d. To show that the total amount spent on the 28 tickets is $(15x + 420), we add the amounts spent on tickets for adults and children: 30x + 15(28 - x) = 30x + 420 - 15x = 15x + 420.

e. If the cost of the 28 tickets was $660, we can set up the equation 15x + 420 = 660 and solve for x:

15x + 420 = 660
15x = 660 - 420
15x = 240
x = 240/15
x = 16

Therefore, the number of adult tickets bought by the company is 16.

To solve this problem, let's break it down step by step.

a. The number of tickets for children: To find this, we need to calculate the difference between the total number of tickets (28) and the number of adult tickets (x):
Number of children's tickets = Total number of tickets - Number of adult tickets
Number of children's tickets = 28 - x

b. The amount spent on tickets for adults: To find this, we multiply the price of an adult ticket ($30) by the number of adult tickets (x):
Amount spent on tickets for adults = Price of an adult ticket * Number of adult tickets
Amount spent on tickets for adults = $30 * x = $30x

c. The amount spent on tickets for children: To find this, we multiply the price of a child ticket ($15) by the number of children's tickets (28 - x):
Amount spent on tickets for children = Price of a child ticket * Number of children's tickets
Amount spent on tickets for children = $15 * (28 - x) = $15(28 - x)

d. Show that the total amount spent on the 28 tickets is $(15x + 420): To prove this, we need to add the amounts spent on tickets for adults and children together:
Total amount spent = Amount spent on tickets for adults + Amount spent on tickets for children
Total amount spent = $30x + $15(28 - x)
Total amount spent = $30x + $420 - $15x
Total amount spent = $15x + $420

e. Given that the cost of the 28 tickets was $660, we can use the equation from part d to calculate the number of adult tickets bought by the company:
Total amount spent = $15x + $420 = $660
Subtract $420 from both sides:
$15x = $660 - $420
$15x = $240
Divide both sides by $15:
x = 16

Therefore, the number of adult tickets bought by the company is 16.

for (e) is the answer correct if i get a decimal number like 8.5?