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Say you have 47,964 blocks. For every 4 yellow blocks, you have 1 orange block. For every 4 orange blocks, you have 1 red block. For every 2 yellow blocks, you have 3 blue blocks. How many of each color block do you have?


Please show steps I'm horrible at multiple-ratio problems



Answer :

Using proportions, the amounts you have of each block are given as follows:

  • Blue: 25,581.
  • Yellow: 17,054
  • Orange: 4,263.
  • Red: 1,066

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

From the amounts given, you can create the following ratio:

Blue : Yellow : Orange : Red

6 : 4 : 1 : 0.25.

Hence the fractions corresponding to each color are given as follows:

  • Blue: 6/(6 + 4 + 1 + 0.25) = 6/11.25.
  • Yellow: 4/11.25.
  • Orange: 1/11.25.
  • Red: 0.25/11.25.

Hence the number of blue blocks is found as follows:

6/11.25 x 47964 = 25,581.

The number of yellow blocks is given by:

4/11.25 x 47964 = 17,054.

The number of orange blocks is given by:

1/11.25 x 47964 = 4,263.

The number of red blocks is given by:

0.25/11.25 x 47964 = 1,066.

More can be learned about proportions at https://brainly.com/question/24372153

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