FRQ — Algebra — StudyLoop

Case study·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

At a school canteen, combo A has

2

sandwiches and

1

juice for Rs.

90

. Combo B has

3

sandwiches and

2

juices for Rs.

145

. A group has Rs.

300

and wants

5

sandwiches and

4

juices.

Total: 4 marks

(a) Write two equations using $s$ for one sandwich and $j$ for one juice. (1 mark)

(b) Find the cost of one sandwich. (1 mark)

(d) Decide whether Rs. $300$ is enough for $5$ sandwiches and $4$ juices, and find the amount left or short. (1 mark)

Your response (optional — you can also work on paper)

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