Questions: A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost 6 each and four-topping pizza cost 10 each. They order c cheese pizzas and f four-topping pizzas. Which expression represents the total cost of all of the pizzas they order? A) 6+10 B) c+f C) 6c+10f D) 6f+10c

A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost 6 each and four-topping pizza cost 10 each. They order c cheese pizzas and f four-topping pizzas.

Which expression represents the total cost of all of the pizzas they order?
A) 6+10
B) c+f
C) 6c+10f
D) 6f+10c

Transcript text: A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $\$ 6$ each and four-topping pizza cost $\$ 10$ each. They order $c$ cheese pizzas and $f$ four-topping pizzas. Which expression represents the total cost of all of the pizzas they order? A) $6+10$ B) $c+f$ C) $6 c+10 f$ D) $6 f+10 c$

Solution

Solution Steps

To determine the total cost of all the pizzas ordered by the softball team, we need to consider the cost of each type of pizza and the number of each type ordered. The cheese pizzas cost $6 each, and the four-topping pizzas cost $10 each. If they order c cheese pizzas and f four-topping pizzas, the total cost can be calculated by multiplying the number of each type of pizza by its respective cost and then summing these amounts.

Step 1: Define Variables

Let $ c $ represent the number of cheese pizzas ordered and $ f $ represent the number of four-topping pizzas ordered. The costs are defined as follows:

Cost of cheese pizza: $ 6 $ dollars
Cost of four-topping pizza: $ 10 $ dollars

Step 2: Write the Total Cost Expression

The total cost $ T $ of the pizzas can be expressed mathematically as: \[ T = 6c + 10f \]

Step 3: Substitute Values

Given the values $ c = 3 $ and $ f = 2 $, we substitute these into the total cost expression: \[ T = 6(3) + 10(2) \]

Step 4: Calculate the Total Cost

Now, we perform the calculations: \[ T = 18 + 20 = 38 \]