A box contains several blocks. Purple, Gold, and White. The probability of the purple block is 1/4 and the probability of the gold is 3/8. The probability of the white is 3/8. If the box contains 12 purple blocks and 18 gold blocks, how many total blocks does it contains? Help. Can you explain it.

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## Answers (2)

Aight, you can take out everything else in the word problem except a numeral and a matching fraction. In this case, I will use 12 purple blocks and the probability of getting a purple block is 1/4

From this we know that 1/4 of the box is 12. The equation would look like 1/4x=12

Now we need to solve for X

We can do that by multiplying both sides by 4.

Therefore

x = 48

There are 48 blocks in the box.

A 1/4 chance of purple means that 12/X = 1/4. X is the total number of blocks = 48.

A 3/8 chance of gold means that 18/X = 3/8. X is the total number of blocks again. 18 x 8 divided by 3 = 48.