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1 vote
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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.
What operation describes Tanika's missing work in Step 2?

Step 1: 315= 15p +60

Step 2: ?

Step 3: 255=15p

Step 4: 255/15 = 15p/15

Step 5: p=17

What operation describes Tanika’s missing work in step 2?

A. added 60 to both sides

B. multiplied both sides by 15

C. divided both sides by 15

D. subtracted 60 from both sides

Letter choice: ?

User Stephan Olsen
by
2.6k points

2 Answers

19 votes
19 votes

Answer:

D. subtracted 60 from both sides

Explanation:

Step 1: 315= 15p +60

Step 2: 315 - 60 = 15p

Step 3: 255=15p

Step 4: 255/15 = 15p/15

Step 5: p=17

User Akbar Badhusha
by
2.5k points
14 votes
14 votes

Answer: D. subtracted 60 from both sides

Explanation:

How does someone get from 315 = 15p + 60 to 255 = 15p? To solve 315 = 15p + 60, we would need to isolate the variable p.

To isolate the variable p, the first step in solving the equation would be to subtract 60 from both sides; it would look like this:

> Step 2: 315 - 60 = 15p + 60 - 60

If you solve this out, you get:

> Step 3: 255 = 15p

Step two subtracts 60 from both sides of step one to achieve step 3.

User Mudri
by
3.1k points