Question

Alan's entertainment budget of $120 includes concerts and movies. A concert costs $40, and a movie costs $10. Use the tables below to answer the questions that follow. Instructions: Enter your answers as a whole number.

a. Complete the movies column of Alan's budget, assuming he spends all of his entertainment budget.

Alan entertainment Budget
Concerts Movies
3 _______
2 _______
1 _______
0 _______

Suppose the movie theater begins offering a student discount. Alan now only has to pay $5 to see a movie

b. Complete the movies column of Alan's budget based on the new price of movies.

Alan entertainment Budget
Concerts Movies
3 _______
2 _______
1 _______
0 _______

Answer 1

A)

Concerts Movies

3 /// 0

2 /// 4

1 /// 8

0 /// 12

B)

Concerts Movies

3 /// 0

2 /// 8

1 /// 16

0 /// 24

Step-by-step explanation:

Given the value of concerts we subtracthtat form the budget and divide over the movie ticket price:

120 - 3 x 40 = 0 available for movie ticket

120 - 2 x 40 = $40 available for movie ticket

Then $40 / 10 each = 4 movie ticket

120 - 1 x 40 = $80 available for movie ticket

Then $80 / 10 each = 8 movie ticket

120 - 0 x 40 = $120 available for movie ticket

Then $120 / 10 each = 12 movie ticket

For the second question we repeat the process but we divie the available for ticket over 5

Then $40 / 5 each = 8 movie ticket

Then $80 / 5 each = 16 movie ticket

Then $120 / 5 each = 24 movie ticket

Answer 2

Step-by-step explanation:

a) It is given that Alan has a total budget of $120 and he can spend this movie on concert and movies, consuming all of his money.

Cost of one concert = 40

A movie costs = 10

It means, if Alan goes to 3 concerts, he would spend entire $120 ( 3 x 40)

It means, if Alan goes to 3 concerts, he would spend entire $120 ( 3 x 40)

If Alan goes to 2 concerts, he would spend $80 (2 x 40) and remaining $40 can be used on watching 4 movies (4x10)

If Alan goes to 1 concert, he would spend $40 (1 x 40) and remaining $80 can be used on watching 8 movies (8x10)

If Alan goes to 0 concert, he would spend $0 and entire $120 can be used on watching 12 movies (12x10).

Table would be;

Concerts Movies

3 0

2 4

1 8

0 12

B.) Now using the same methodology as above, the table would be (when movie costs $5)

Concerts Movies

3 0

2 8

1 16

0 24