https://file.aiquickdraw.com/mathbot/file/17269772630865ybkii9k.jpg

Let's break down the problem based on the image.

### Part (a):
A chocolate cookie costs **a** cents, and a pack of potato chips costs 20 cents more than the cost of a chocolate cookie.

Thus, the cost of one pack of potato chips, in terms of **a**, is:
\[
\text{Cost of potato chips} = a + 20 \, \text{cents}
\]

### Part (b):
Tom wishes to buy **ten cookies** and **three packs of chips**. We need to write an algebraic expression for the total price he has to pay.

- The cost of **10 cookies** is:
  \[
  10 \times a = 10a \, \text{cents}
  \]
  
- The cost of **3 packs of chips** (each costing \(a + 20\) cents) is:
  \[
  3 \times (a + 20) = 3a + 60 \, \text{cents}
  \]

The total price he has to pay is:
\[
10a + 3a + 60 = 13a + 60 \, \text{cents}
\]

Thus, the total price in its simplest form is:
\[
\boxed{13a + 60} \, \text{cents}
\]

---

Do you have any questions or need further details?

Here are five related questions you might find useful:
1. What if the pack of chips cost 50 cents more instead of 20 cents more?
2. How would the expression change if Tom wanted to buy 5 cookies and 4 packs of chips?
3. Can you express the cost for any number of cookies and packs of chips in a general form?
4. How would you calculate the total if the price of cookies and chips was in dollars instead of cents?
5. What if Tom received a 10% discount on the total price—how would you modify the expression?

### Tip:
When writing algebraic expressions, always ensure you distribute terms properly and combine like terms for simplicity.

A chocolate cookie costs a cents while a pack of potato chips costs 20 cents more. (a) Express, in terms of a, the cost of one pack of potato chips in cents. (b) Tom wishes to buy ten cookies and three packs of chips. Write an algebraic expression to represent the total price he has to pay, in cents, in its simplest form.

Learn how to express the cost of a pack of potato chips in terms of a variable and calculate the total cost for buying multiple items. Suitable for Grades 6-8, this problem explores key algebraic concepts like linear expressions and cost calculations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation