Maths Olympiad Prep

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, 2023

Algebra Difficulty 2.3 Junior Find the answer Canada

Charlie is making a necklace with yellow beads and green beads.
She has already used 4 green beads and 0 yellow beads. How many yellow
beads will she have to add so that 45\frac{4}{5} of the total number of beads
are yellow?

Pick one

Solution

If 45\frac{4}{5} of the beads
are yellow, then 15\frac{1}{5} are
green.

Since there are 4 green beads, the total number of beads must be 4×5=204 \times 5 = 20.

Thus, Charlie needs to add $20 - 4 =
16$ yellow beads.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.