QuestionSimone wants 15 tickets. How much more will she spend buying 3-ticket packs at $\$ 6.25$ each instead of 5-ticket packs at $\$ 8.75$ ?

Studdy Solution

STEP 1

Assumptions1. Packs of5 tickets cost $8.75. Packs of3 tickets cost$ 6.253. Simone wants to buy15 tickets4. We need to calculate the difference in cost if she buys only packs of3 tickets compared to if she buys packs of5 tickets

STEP 2

First, we need to calculate how many packs of5 tickets Simone would need to buy to get15 tickets. We can do this by dividing the total number of tickets she wants by the number of tickets in a pack.
$Number\, of\,5\, ticket\, packs = Total\, tickets / Tickets\, per\, pack$

STEP 3

Now, plug in the given values for the total tickets and tickets per pack to calculate the number of5 ticket packs.
$Number\, of\,5\, ticket\, packs =15 /5$

STEP 4

Calculate the number of ticket packs.
$Number\, of\,\, ticket\, packs =15 / =3$

STEP 5

Now that we have the number of5 ticket packs, we can calculate the total cost for these packs. We can do this by multiplying the number of packs by the cost per pack.
$Cost\, for\,5\, ticket\, packs = Number\, of\,5\, ticket\, packs \\times Cost\, per\, pack$

STEP 6

Plug in the values for the number of5 ticket packs and the cost per pack to calculate the total cost.
$Cost\, for\,5\, ticket\, packs =3 \\times \$8.75$

STEP 7

Calculate the total cost for the5 ticket packs.
$Cost\, for\,5\, ticket\, packs =3 \\times \$.75 = \$26.25$

STEP 8

Next, we need to calculate how many packs of3 tickets Simone would need to buy to get15 tickets. We can do this by dividing the total number of tickets she wants by the number of tickets in a pack.
$Number\, of\,3\, ticket\, packs = Total\, tickets / Tickets\, per\, pack$

STEP 9

Now, plug in the given values for the total tickets and tickets per pack to calculate the number of3 ticket packs.
$Number\, of\,3\, ticket\, packs =15 /3$

STEP 10

Calculate the number of3 ticket packs.
$Number\, of\,3\, ticket\, packs =15 /3 =5$

STEP 11

Now that we have the number of3 ticket packs, we can calculate the total cost for these packs. We can do this by multiplying the number of packs by the cost per pack.
$Cost\, for\,3\, ticket\, packs = Number\, of\,3\, ticket\, packs \\times Cost\, per\, pack$

STEP 12

Plug in the values for the number of ticket packs and the cost per pack to calculate the total cost.
$Cost\, for\,\, ticket\, packs =5 \\times \$6.25$

STEP 13

Calculate the total cost for the3 ticket packs.
$Cost\, for\,3\, ticket\, packs =5 \\times \$6.25 = \$31.25$

STEP 14

Now that we have the total cost for both the ticket packs and the3 ticket packs, we can calculate the difference in cost. We can do this by subtracting the cost for the ticket packs from the cost for the3 ticket packs.
$Difference\, in\, cost = Cost\, for\,3\, ticket\, packs - Cost\, for\,\, ticket\, packs$

STEP 15

Plug in the values for the cost for the3 ticket packs and the cost for the5 ticket packs to calculate the difference in cost.
$Difference\, in\, cost = \$31.25 - \$26.25$

STEP 16

Calculate the difference in cost.
$Difference\, in\, cost = \$31.25 - \$26.25 = \$5$ Simone will spend $5 more if she only buys packs of3 tickets.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms