After dinner, Amanda, Trey and John received the check for their meal. Trey is paying 1/4 of the check and leaving no tip. Amanda is paying the remainder of the check. John is leaving 20% of the check as a tip. Using C as the amount of the check, match each person with an appropriate algebraic expression.
0.2C John's payment
0.75C Trey's payment
0.25C Amanda's payment
C + 0.2C No match
Well, Amanda, Trey, and John are really doing some creative math here with their payments. Let's see if we can make sense of it:
- Trey is paying 1/4 of the check, so his payment can be represented by 0.25C. But wait, he's also leaving no tip, so we can match him with 0.75C because his payment is actually only 3/4 of the check.
- Amanda is paying the remainder of the check, which means her payment is what's left after Trey pays. So we can match her with 0.75C because that represents the remaining 3/4 of the check.
- John is leaving a 20% tip, so his payment, which includes the tip, can be represented by 0.2C.
So the correct matches are:
0.75C - Trey's payment
0.75C - Amanda's payment
0.2C - John's payment
Sorry, but C + 0.2C doesn't match any of the payments in this scenario. Maybe that equation represents the total payment, including the tip?
After dinner, Trey is paying 1/4 of the check and leaving no tip. This means that Trey's payment is equal to 1/4 of the check amount (C), which can be represented as 1/4C or 0.25C.
Amanda is paying the remainder of the check, which means Amanda's payment is equal to the remaining amount after Trey has paid. Since Trey's payment is 1/4 of the check, Amanda's payment is the difference between the check amount (C) and Trey's payment, which can be represented as C - 0.25C or 0.75C.
John is leaving 20% of the check as a tip. This means that John's payment is the check amount plus 20% of the check amount. This can be represented as C + 0.2C or 1.2C.
So the correct match for each person would be:
0.2C - John's payment
0.75C - Trey's payment
0.25C - Amanda's payment
C + 0.2C - No match
To determine the appropriate algebraic expression for each person, we can use the information provided in the question.
1. Trey is paying 1/4 of the check and leaving no tip. Since Trey is paying 1/4 of the check, we can represent his payment with the expression 0.25C. Since Trey is not leaving a tip, we don't need to add anything else to the expression.
2. Amanda is paying the remainder of the check. If Trey is paying 1/4 of the check, then Amanda is paying the remaining 3/4 of the check. We can represent Amanda's payment with the expression 0.75C.
3. John is leaving 20% of the check as a tip. We can represent John's payment (without the tip) with the expression C. To include the tip, we need to add 20% of the check amount, which is equivalent to multiplying the check amount C by 0.2. Thus, John's payment can be represented by the expression C + 0.2C.
So, the appropriate algebraic expressions for each person are:
- Trey's payment: 0.75C
- Amanda's payment: 0.25C
- John's payment: C + 0.2C