henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. if he uses 9…

henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. if he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? explain how you know.

henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. if he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? explain how you know.

Answer

Explanation:

Step1: Find the ratio of red to yellow

The ratio of red to yellow in the first - case is $2:3$. When he uses 9 pints of yellow, let the amount of red be $x$. Since the ratio remains the same, we have the proportion $\frac{2}{3}=\frac{x}{9}$. Cross - multiply: $3x = 2\times9$. $3x=18$, so $x = 6$ pints of red.

Step2: Calculate total paint

The total amount of paint is the sum of red and yellow. He uses 6 pints of red and 9 pints of yellow. The total amount of paint $=6 + 9=15$ pints.

Answer:

15 pints