Question

Dani and Chris are the leaders of their school’s kindness club. As a gift for the beginning of the year, they are going to buy one tote bag and one t-shirt for each member of the club. They are each doing internet research on the cost of the bags and the shirts. Here is some information you will need to know:

The club has $150 in the bank to spend on the gifts.
There are 7 members of the club who will receive tote bags and t-shirts.
When you write your expressions, use t to stand for the cost of each t-shirt.
When you write your expressions, use b to stand for the cost of each tote bag.
question: Dani decides to add the cost of each shirt and the cost of each bag together, and then multiply by seven to find the total cost. Write an algebraic expression for the total cost of the gifts using Dani’s method. Remember, use t and b as your variables.

Answer 1

The algebraic expression representing the total cost of one tote bag and one t-shirt for each of the 7 members in the club, using Dani's method, is 7(t + b).

Step-by-step explanation:

Dani is calculating the total cost of gifts for the kindness club by adding the cost of one t-shirt and one tote bag, and then multiplying the sum by the number of members in the club. To represent this algebraically, we use t to stand for the cost of each t-shirt and b to stand for the cost of each tote bag. The expression for the total cost, following Dani's method, would be 7(t + b). This is because there are 7 members, and each member receives one t-shirt and one tote bag, so you first add the cost of a t-shirt and a tote bag together, and then multiply by 7 to get the total cost.