Sure, let's break down the situation step by step.
1. **Number of Friends:**
- John and 3 friends imply 4 people in total.
2. **Cost of Pizza:**
- The pizza costs $13.
3. **Gift Certificate:**
- They have a $6.00 gift certificate, which lowers the pizza cost.
4. **Total Cost:**
- The total amount they spend is $13.20.
5. **Number of Drinks:**
- They have 4 large drinks.
Let's denote:
- \( P \) as the cost of the pizza, which is $13,
- \( G \) as the value of the gift certificate, which is $6,
- \( D \) as the cost of one large drink,
- \( T \) as the total amount spent, which is $13.20.
### Equation Setup
The cost equation is comprised of:
- The reduced cost of the pizza (after applying the gift certificate), and
- The cost of the 4 drinks.
Reduced pizza cost = \( P - G = 13 - 6 = 7 \).
The total cost can be expressed as the sum of the reduced pizza cost and the total cost of the drinks:
\[ T = (P - G) + 4D \]
Substituting the known values into the equation:
\[ 13.20 = 7 + 4D \]
### Solving for \( D \):
1. Subtract 7 from both sides of the equation:
\[ 13.20 - 7 = 4D \]
\[ 6.20 = 4D \]
2. Divide both sides by 4:
\[ D = \frac{6.20}{4} \]
\[ D = 1.55 \]
So, the cost of one large drink is \( \boxed{1.55} \).
John and
3
3 friends are going out for pizza for lunch. They split
1
1 pizza and
4
4 large drinks, the pizza cost
$
13
$13. After using a
$
6.00
$6.00 gift certificate they spend a total of
$
13.20
$13.20. Write an equation to model this situation and find the cost of
1
1 large drink.
1 answer
1 answer