Problem
Lesson 15 Activity $(\mathrm{Bc} \times$ HP Smart Quadratic functions i $x$ Inversely Proportiona $x \mid \geqslant$ My Portal ccga.view.usg.edu/d2l/le/content/2848205/viewContent/56202115/View Mail $-920033687-T \times$ Financial Aid 1. Spring Green paint is made by mixing blue paint with yellow paint in a ratio of 2 to 3 . In parts (a), (b), and (c), explain how to reason about a strip diagram to make Spring Green paint. Blue paint Yellow paint a. If you use 26 gallons of blue paint, how many gallons of yellow paint will you need? b. If you use 48 gallons of yellow paint, how many gallons of blue paint will you need? (Draw your own strip diagram!) c. If you want to make 125 gallons of Spring Green paint, how many gallons of blue Download Print Alternative formats MacBook Air
Solution
Step 1 ：The problem is asking for the amount of yellow paint needed when 26 gallons of blue paint is used. The ratio of blue to yellow paint is 2:3. This means for every 2 parts of blue paint, we need 3 parts of yellow paint.
Step 2 ：Let's denote the amount of blue paint as \(blue\_paint = 26\), the ratio of blue paint as \(ratio\_blue = 2\), and the ratio of yellow paint as \(ratio\_yellow = 3\).
Step 3 ：We can calculate the amount of yellow paint needed by using the formula \(yellow\_paint = \frac{blue\_paint \times ratio\_yellow}{ratio\_blue}\).
Step 4 ：Substituting the given values into the formula, we get \(yellow\_paint = \frac{26 \times 3}{2} = 39.0\).
Step 5 ：Final Answer: You will need \(\boxed{39}\) gallons of yellow paint.
