Meg mixes 3 parts silver paint with 4 parts green paint to get a specific color.

Question

A 2-column table has 2 rows. Column 1 is labeled Silver paint (parts) with entries 3, blank. Column 2 is labeled Green paint (parts) with entries 4, blank.

Is the ratio 5:6 equivalent to 3:4?
Yes, because both ratios show a pair of numbers that have a difference of 1.
Yes, because any combination of silver and green will work.
No, because the numbers in the given ratio must be multiplied by the same number.
No, because there cannot be more than 4 green parts.

Answer 1

To determine if the ratio 5:6 is equivalent to 3:4, we can compare the two ratios mathematically.

1. We can express each ratio as a fraction:

   • The ratio 3:4 can be expressed as the fraction 3/4.
   • The ratio 5:6 can be expressed as the fraction 5/6.

2. To check if these two fractions are equivalent, we'll cross-multiply:

   • For the ratios 3/4 and 5/6:
     • Cross-multiplying gives: \( 3 \times 6 = 18 \) and \( 4 \times 5 = 20 \).
   • Since 18 is not equal to 20, the fractions are not equivalent.

Therefore, the answer to whether the ratio 5:6 is equivalent to 3:4 is No, because the numbers in the given ratio must be multiplied by the same number.