Unit 6 · Algebra

6 Bulbs Left — How Many at the Start?

Lesson 13 of 24

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She plants half, then three-quarters of what’s left, and 6 remain. Work backwards: 6 is one-quarter of the second section’s starting amount — multiply up twice to reach the original total.

Chapters

0:00Introduction
0:22The Question
0:57Modeling the first partition (½)
1:23Partitioning the remainder (¾)
1:54Reconstructing the full remainder
2:20Scaling up to the starting box total
2:48Exam strategy — the fractional complement multiplier
3:37Confirming the final option

Question

A gardener has a box of bulbs to plant in a garden. The garden has three sections.

She plants 12\frac{1}{2} of the bulbs in the first section.

She plants 34\frac{3}{4} of the remaining bulbs in the second section.

She has 6 bulbs left, which she plants in the third section.

How many bulbs were in the box at the start?

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