Math Problem Statement

Each time Terry visits the discount store, he buys 2 packages of socks for $9 each. Terry has gone to the discount store 7 times in the last 6 months. Which expression shows how much Terry spent on socks?

Solution

The problem asks how much Terry spent on socks after visiting a store 7 times, with each visit involving the purchase of 2 packages of socks costing $9 each.

We can calculate this step by step:

  • Each visit, Terry buys 2 packages of socks at $9 each. Therefore, in each visit, he spends: 2×9=18dollars per visit2 \times 9 = 18 \, \text{dollars per visit}
  • Since Terry visited the store 7 times, the total amount he spent is: 7×18=126dollars7 \times 18 = 126 \, \text{dollars} Thus, the correct expression representing this situation is: 7×(9+9)7 \times (9 + 9) since 9+99 + 9 represents the total cost for two packages per visit, and he visited 7 times.

This corresponds to option C: 7(9+9)7(9 + 9).

Would you like further details on the calculations or have any questions?

Here are five related questions to deepen your understanding:

  1. How would the expression change if each package of socks cost $10?
  2. If Terry bought 3 packages per visit, how would you modify the expression?
  3. How can you represent the total amount using an addition-based expression rather than multiplication?
  4. If Terry had only visited the store 5 times, how would you adjust the expression?
  5. What would the expression be if Terry received a 10% discount on each package?

Tip: Always break down word problems step by step, identifying how many units of an item are bought and the cost per unit.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Algebra
Word Problems

Formulas

Total cost = Number of visits * (Packages per visit * Cost per package)

Theorems

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Suitable Grade Level

Grades 6-8