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Question
A mixture of paint is prepared by mixing 2 parts of red pigments with 5 parts of the base. Using the given information in the following table, find the values of a, b and c to get the required mixture of paint.
| Parts of red pigment | 2 | 4 | b | 6 |
| Parts of base | 5 | a | 12.5 | c |
Options
a = 10, b = 10, c = 10
a = 5, b = 2, c = 5
a = 10, b = 5, c = 10
a = 10, b = 5, c = 15
MCQ
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Solution
a = 10, b = 5, c = 15
Explanation:
Given 2 parts of red pigments is mixed with 5 parts of the base.
∴ `4/a = 2/5`
⇒ `a = (4 xx 5)/2`
⇒ `a = 20/2`
⇒ a = 10
∴ `b/12.5 = 2/5`
⇒ `b = 2/5 xx 12.5`
⇒ b = 5
∴ `6/c = 2/5`
⇒ `c = (6 xx 5)/2`
⇒ c = 3 × 5
⇒ c = 15
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Direct Applications of Ratio and Proportion
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