https://file.aiquickdraw.com/mathbot/file/1728484732397njbbcd43.jpg

### Let's break down the problem step by step:

#### Part a: Forming the equation

Sam buys 4 more orange juice cans than mango juice cans.

- Let the number of mango juice cans be $ m $.
- Sam buys $ c $ orange juice cans, and we're told that $ c $ is 4 more than the number of mango juice cans. Thus, the equation to represent this situation is:

\[
c = m + 4
\]

#### Part b: Solving the equation to find the number of mango juice cans

The total cost is related to the price of the cans. The cost of an orange juice can is 30 cents, and the cost of a mango juice can is 35 cents.

So, the total cost equation will be based on the number of cans:

\[
30c + 35m
\]

But we need more information to solve this equation, like a given total cost. Since that's not provided in the question, we can simply express the costs in terms of $ m $ using the earlier equation $ c = m + 4 $.

Would you like more details or have any questions?

---

Here are 5 questions to extend your understanding:

1. How would the equation change if the number of orange juice cans was 2 less than the mango juice cans?
2. If the total cost was $3.50, how would you set up the equation to solve for $ m $?
3. How would you solve the problem if the costs of both types of juice cans were the same?
4. What happens to the number of mango juice cans if Sam buys 10 more orange juice cans?
5. Can you express the total cost in terms of just the variable $ m $?

**Tip:** When forming equations, always define variables clearly and look for relationships between the quantities.

Sam buys 4 more orange juice cans than mango juice cans. The cost of an orange juice can is 30 cents and the cost of a mango juice can is 35 cents. Form an equation and solve.

Learn how to solve a linear equation where Sam buys 4 more orange juice cans than mango juice cans. Explore the step-by-step solution for this algebra problem suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation