Question

tanika booked a banquet hall for a party. the hall charged $15 per person, with a required tip of $60 for the waiters. tanika knows that the total bill was $315 without tax, but she lost track of how many people attended. she writes and solves an equation, where p represents the number of people who attended.

step 1: $315 = 15p + 60$
step 2: ?
step 3: $255 = 15p$
step 4: $\frac{255}{15} = \frac{15p}{15}$
step 5: $p = 17$

which operation describes tanikas missing work step 2?

answer

subtracted 60 from both sides
divided both sides by 15
multiplied both sides by 15
added 60 to both sides

Explanation:

Step1: Analyze the equation progression

We start with \( 315 = 15p + 60 \) (Step 1) and end up with \( 255 = 15p \) (Step 3). To get from Step 1 to Step 3, we need to isolate the term with \( p \).

Step2: Identify the operation for Step 2

To eliminate the \( +60 \) on the right - hand side, we use the subtraction property of equality. Subtract 60 from both sides of the equation \( 315 = 15p+60 \).

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So the operation in Step 2 is subtracting 60 from both sides.

Answer:

subtracted 60 from both sides