Question
The table shows the costs of a membership and fruit baskets at a discount warehouse club. Mrs. Williams paid a total of $105 for her annual membership fee and several fruit baskets as gifts for her coworkers. Solve the equation 15x+30=105 to find the number of fruit baskets Mrs. Williams purchased.
Item. Cost
Membership Fee - 30
Fruit Basket - 15
Item. Cost
Membership Fee - 30
Fruit Basket - 15
Answers
GPT-4o mini
To find the number of fruit baskets Mrs. Williams purchased, we'll start with the equation given:
\[
15x + 30 = 105
\]
Here, \( x \) represents the number of fruit baskets.
### Step 1: Subtract the membership fee from both sides
Subtract 30 from both sides of the equation:
\[
15x + 30 - 30 = 105 - 30
\]
\[
15x = 75
\]
### Step 2: Divide by the cost of each fruit basket
Now, divide both sides by 15 to solve for \( x \):
\[
x = \frac{75}{15}
\]
\[
x = 5
\]
Mrs. Williams purchased **5 fruit baskets**.
\[
15x + 30 = 105
\]
Here, \( x \) represents the number of fruit baskets.
### Step 1: Subtract the membership fee from both sides
Subtract 30 from both sides of the equation:
\[
15x + 30 - 30 = 105 - 30
\]
\[
15x = 75
\]
### Step 2: Divide by the cost of each fruit basket
Now, divide both sides by 15 to solve for \( x \):
\[
x = \frac{75}{15}
\]
\[
x = 5
\]
Mrs. Williams purchased **5 fruit baskets**.