The cost for 3 dinners plus a 15% tip is $27.60. Write an equation representing the situation if p is the price of the dinner in dollars. You may asssume there is no tax.
Using 15% of 27.60 is wrong, because the 27.60 already includes the tip.
Instead, you should use
3p * 1.15 = 27.60
15% of the total cost of $27.60 is $4.14
3 dinners plus $4.14 tip is $27.60
The equation would be:
3p + 4.14 = 27.60
Correct Answer is:
3p*1.15=27.60
To write an equation representing the situation, we need to break down the given information.
Let's break down the problem step by step:
1. The cost of 3 dinners: The cost of each dinner is represented by the variable "p." Since there are 3 dinners, the cost of 3 dinners is 3p.
2. Adding a 15% tip: To add a 15% tip, we first need to calculate 15% of the cost of 3 dinners. The formula to calculate a percentage is (percentage/100) * amount. So, the tip amount is (15/100) * 3p = 0.15 * 3p.
3. The total cost of 3 dinners plus the 15% tip is $27.60: We can express this as the equation 3p + 0.15 * 3p = 27.60.
Simplifying the equation:
3p + 0.15 * 3p = 27.60
3p + 0.45p = 27.60
3.45p = 27.60
Therefore, the equation representing the situation is 3.45p = 27.60.
I thing the 27.60 is the total, that is, it includes the tip.
so , cost of each dinner --- x
3p(1.14) = 27.60
p = 27.60/(3(1.14))
I get p = $8.07
check:
3 dinners cost 3(8.07) = 24.21
tip = .14(24.21) = 3.39
total cost = 24.21 + 3.39 = 27.60
Patte's cost of p = 7.82
check:
3 dinners cost 23.46
tip = .14(23.46) = 3.28
total cost = 23.46+3.28 = 26.74 ≠ 27.60