Question

A candy machine produces 2R for every 2G, 4B, 5O, 7Y per minute. If the machine produces 40 O (orange) candy pieces, how many green does it produce?If 4200 pieces are made in an hour, how many are red?

Answer 1

Given:

A candy machine produces per minute:

Red: 2

Green: 2

Blue: 4

Orange: 5

Yellow: 7

Part A: If the machine produces 40 O (orange) candy pieces, how much green does it produce?

The ratio between Orange and Green = 5 : 2

When the machine produces 40 orange, it will produce x green

So,

`\begin{gathered} 5\colon2=40\colon x \\ (5)/(2)=(40)/(x) \\ \\ x=(2\cdot40)/(5)=16 \end{gathered}`

So, the number of green = 16

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Part B: If 4200 pieces are made in an hour, how many are red?

The number of total pieces = 2 + 2 + 4 + 5 + 7 = 20 per minutes

The percent of red candies = 2/20 = 0.1

If the number of pieces = 4200

So, the number of red = 0.1 * 4200 = 420

So, the answer will be 420 red