At a local basketball game all tickets are the same price and all souvenirs are the same price Mr. Smith put two tickets to this basketball game and one souvenir for a total of $17.25 Mrs. Lockhart bought five tickets the same game and to souvenirs for a total of $42 how much was your ticket to this game?

the cost of a ticket to the game is $7.5

Step-by-step explanation:

Let x represent the price of each ticket.

Let y represent the price of each souvenir.

Mr. Smith put two tickets to this basketball game and one souvenir for a total of $17.25. This is expressed as

2x + y = 17.25- - - - - - - - - - -1

Mrs. Lockhart bought five tickets for the same game and 2 souvenirs for a total of $42

This is expressed as

5x + 2y = 42- - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1. It becomes

4x + 2y = 34.5

5x + 2y = 42

Subtracting, it becomes

- x = - 7.5

x = 7.5

Substituting x = 7.5 into equation 1, it becomes

2 × 7.5 + y = 17.25

15 + y = 17.25

y = 17.25 - 15

y = 2.25

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.