Unit 6 · Algebra
Stars and Hearts Game — 1★ + 1♥ = ?
Lesson 21 of 24
About this lesson
Set up two equations: 3s + 5h = 27 and 5s + 7h = 41. Eliminate s by scaling both equations, subtract to find h = 3, substitute back to find s = 4. Then s + h = 7.
Chapters
Question
In a game, I collect stars and hearts.
I get points when I collect a star. The number of points for a star is always the same.
I get a different number of points when I collect a heart. The number of points for a heart is always the same.
If I collect 3 stars and 5 hearts, I get 27 points.
If I collect 5 stars and 7 hearts, I get 41 points.
How many points do I get if I collect 1 star and 1 heart?
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
Already have an account? Log in here
No payment required. Compare Selective plans
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