Algebra 1

Lesson 17

Applications of Linear Systems

The School Fun Run

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The school Fun Run is this weekend! Two friends, Ava and Ben, are in charge of fundraising for new gym equipment. They each run a different booth.

🎟️

Ava

Ava runs the main booth, selling entry passes for $5 each and snack packs for $2 each.

At the end of the day, she sold 30 items total and collected $108.

How many of each did she sell?

👕

Ben

Ben runs the T-shirt table, selling small shirts for $8 and large shirts for $12.

He sold 25 shirts total and collected $244.

How many of each size did he sell?

Both have two unknowns and two clues. Can we figure out the exact answer — and what's the fastest way to do it?