**Class Activity 7D****Paint Problem:** A paint company makes Peony Pink Paint by mixing red and white paint in the ratio 4 to 7. How many liters of white paint does the company need to mix with 35 liters of red paint to make Peony Pink Paint?Solve the Paint Problem by reasoning about multiplication and division with quantities in as many ways as you can. In each case, describe the number of liters of white paint as a product AxB, where A and B are suitable whole numbers, fractions, or mixed numbers that you derive from 4, 7, and 35. Attend carefully to our definition of multiplication. When you use division, explain what kind it is (how many groups or how many units in 1 group). Use math drawings to support your explanations.---**Class Activity 7E**1. At lunch, there was a choice of pizza or a hot dog. Three times as many students chose pizza as chose hot dogs. Altogether, 160 students stood in line. How many students got pizza and how many got a hot dog? Draw a strip diagram to help you solve this problem. Explain your reasoning.2. The ratio of Shauntay’s cards to Jessica’s cards is 5 to 3. After Shauntay gives Jessica 15 of her cards, both girls have the same number of cards. How many cards do Shauntay and Jessica each have now? Draw a strip diagram to help you solve this problem. Explain your reasoning.3. The ratio of Shauntay’s cards to Jessica’s cards is 5 to 2. After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards. How many cards do Shauntay and Jessica each have now? Draw a strip diagram to help you solve this problem. Explain your reasoning.

Answered: Image /qna-images/answer/c2099684-e37a-4422-b55f-8a51b8a88668.jpg

PAINT PROBLEM: A paint company makes Peony Pink Paint by mixing red and white paint in the ratio 4 to 7. How many liters of white paint does the company need to mix with 35 liters of red paint to make Peony Pink Paint? - the Paint Probl

PAINT PROBLEM: A paint company makes Peony Pink Paint by mixing red and white paint in the ratio 4 to 7. How many liters of white paint does the company need to mix with 35 liters of red paint to make Peony Pink Paint? - the Paint Probl

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

**Class Activity 7D**

**Paint Problem:** A paint company makes Peony Pink Paint by mixing red and white paint in the ratio 4 to 7. How many liters of white paint does the company need to mix with 35 liters of red paint to make Peony Pink Paint?

Solve the Paint Problem by reasoning about multiplication and division with quantities in as many ways as you can. In each case, describe the number of liters of white paint as a product AxB, where A and B are suitable whole numbers, fractions, or mixed numbers that you derive from 4, 7, and 35. Attend carefully to our definition of multiplication. When you use division, explain what kind it is (how many groups or how many units in 1 group). Use math drawings to support your explanations.

---

**Class Activity 7E**

1. At lunch, there was a choice of pizza or a hot dog. Three times as many students chose pizza as chose hot dogs. Altogether, 160 students stood in line. How many students got pizza and how many got a hot dog? Draw a strip diagram to help you solve this problem. Explain your reasoning.

2. The ratio of Shauntay’s cards to Jessica’s cards is 5 to 3. After Shauntay gives Jessica 15 of her cards, both girls have the same number of cards. How many cards do Shauntay and Jessica each have now? Draw a strip diagram to help you solve this problem. Explain your reasoning.

3. The ratio of Shauntay’s cards to Jessica’s cards is 5 to 2. After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards. How many cards do Shauntay and Jessica each have now? Draw a strip diagram to help you solve this problem. Explain your reasoning.

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