Unit 6 · Algebra

Charlie's $9 Lunch — What Did Alex Spend?

Lesson 12 of 24

Premium

About this lesson

Alex → spends some → gives half to Charlie → Charlie spends 1/4 of that on $9 lunch. Work backwards from the $9: un-quarter it, un-halve it, then subtract from $76.

Chapters

0:00Introduction
0:21The Question
0:56Decoding Charlie's received fund
1:25Reconstructing Alex's remaining balance
1:50Isolating the initial shop expense
2:15Exam strategy — the backwards inversion anchor
2:53Confirming the final option

Question

Alex had $76.

He spent some of it in a shop.

Then he gave half of what he had left to Charlie.

Charlie spent a quarter of what Alex gave him on lunch.

Charlie spent $9 on lunch.

How much did Alex spend in the shop?

Free account · Selective

Take your Selective prep further

  • Sample questions & worked solutions across core Selective topics
  • Digital exam simulator with interactive practice sets
  • Personalised progress tracking across all your devices
Create free account

Already have an account? Log in here

No payment required. Compare Selective plans

0 of 24 lessons completed

0%

Give Your Child the Best Chance at Selective Entry

Join NSW families preparing their children for the Selective Schools Placement Test with the most realistic online Selective practice tests available. First tests free—no credit card required.

Claim Your Free Selective Practice Tests