# ONLINE APP STORE

Date of the Problem
September 27, 2021

A particular online app store has three categories of apps available to download: \$3 apps, \$1 apps and free apps. There are no additional taxes or fees to download an app from this website. If Peyton wants to download equal numbers of apps in these three categories, what is the greatest number of apps she can download for \$20?

The total cost to download one app in each category is 3 + 1 + 0 = \$4. Peyton can do this 20 ÷ 4 = 5 times with \$20. That's 5 apps in each of the three categories, for a total of 5 × 3 = 15 apps.

Without the subscription, six \$3 apps, five \$1 apps and four free apps cost Peyton 6 × 3 + 5 × 1 + 4 × 0 = 18 + 5 = \$23 to download. If she had purchased the annual subscription, she could have saved 23 – 15.99 = \$7.01 on these 15 downloads.

If Peyton still has not purchased the subscription, and she wants to spend exactly \$10 to download seven apps, what is the greatest number of free apps she can download?