Unit 6 · Algebra

Spent 4/5 — How Much Did She Start With?

Lesson 4 of 24

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About this lesson

Monique spent 4/5 of her money and had $80 left. What you SEE ($80) is the part that WASN'T spent — that's 1/5 of the original. So $80 = 1/5, which means the whole = $80 × 5. Working backwards from a fraction that remains is the key move.

Chapters

0:00Introduction
0:22The Question
0:52Mapping the fractional remainder
1:20Scaling up to find the original total
1:45Exam strategy — direct option elimination checks
2:32Confirming the final option

Question

On Monday, Monique had some money.

On Tuesday, she spent 45\frac{4}{5} of the money. After that she had $80 left.

How much money did Monique have on Monday?

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