Unit 6 · Algebra
500 Tickets Over 4 Days — How Many on Monday?
Lesson 17 of 24
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About this lesson
Let Monday = M. Tuesday = M/2, Wednesday = M/4. Then M + M/2 + M/4 + 80 = 500, so 7M/4 = 420, giving M = 240.
Chapters
0:00Introduction
0:24The Question
1:08Isolating the active three-day pool
1:40Setting up the rational unit model
2:15Solving for the core unit value
2:53Scaling up to Monday's total
3:26Exam strategy — retrospective geometric testing
4:25Confirming the final option
Question
A movie theatre sold a total of 500 tickets in a week.
It sold all of these tickets on Monday, Tuesday, Wednesday and Thursday.
On Tuesday it sold half as many tickets as on Monday.
On Wednesday it sold half as many tickets as on Tuesday.
On Thursday it sold 80 tickets.
How many tickets were sold on Monday?
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