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Please I need help.. 30% of the total beads are black. There are 12 black beads. What is the total number of beads?

User Wildavies
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1 Answer

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If there is a total of 12 black beads out of a total of x number of beads, and the black beads make up 30%, then it means the 100% of beads is x.

Mathematically expressed,

12 = 30%

While,

x = 100%

This can now be expressed as follows;

12/x = 30/100

Since 12 is 30 perscent of the total which is x, then expressing 12 as a percentage of the total (which is unknown) is equal to expressing 30 as a percentage of 100.

12/x = 30/100

You cross multiply and you now have;

12 * 100 = x * 30

1200 = 30x

Divide both sides of the equation by 30 and you now have;

40 = x

Therefore you have a total of 40 beads (out of which 12 are black beads)

User Macmade
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