Step A: Brian went to a trading-cards event. It cost $5 to enter and $4 for each card he purchases. Write an equation that models his total cost for the day. Step B: How many cards did Brian purchase if he spent a total of $29? Step C: If Brian brought a total of $65, what is the maximum amount of cards he can purchase? Explain why in a short paragraph and in your own words.

Mathematics · High School · Thu Feb 04 2021

Answered on

step A: Brian entry cost=$5

              Brain purchase total cards=x

              cost of total cards= 4*total number of cards

let total cost for the day=y

equation=> total cost= entry cost + cost of total cards 

y=5+4x

Step B: total amount=$29

                 cards purchase=?

according to the Step A

Y=5+4x

29=5+4x

29-5=4x

24=4x

24/4=x

6=x

he purchased 6 cards .

Step C: if he have $65 than how many cards he can purchase=?

according to the Step A

Y=5+4x

65=5+4x

65-5=4x

60=4x

60/4=x

15=x

he can purchase total 15 cards .