Question
Fiona wants to buy burgers from a restaurant which has the promotion below:
3 burgers for
Buy 6 and get another 1 for free!
To get 210 burgers, how much does she have to pay?
3 burgers for
Buy 6 and get another 1 for free!
To get 210 burgers, how much does she have to pay?
Ask by Christensen Fowler. in Singapore
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Fiona needs to pay $600 to buy 210 burgers with the promotion.
Solution
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The Deep Dive
To get 210 burgers, Fiona can take advantage of the promotion. She can buy 6 sets of 3 burgers for a total of 18 burgers, and for every 6 sets she buys, she gets 1 additional burger for free.
First, we determine how many sets of 6 she needs for 210 burgers:
- 210 burgers include burgers from the sets plus the free burgers.
- For every 6 sets (18 burgers), she receives 1 free burger, which means she effectively gets 19 burgers per 6 sets.
Now we calculate how many sets of 19 fit into 210:
-
sets. This gives her burgers. - She needs 1 more burger, so she buys an additional set of 3 for $10.
The cost calculation:
- Each set of 6 costs
. - Total cost for 11 sets (each providing 19 burgers) is
. - Plus
for an additional set gives .
Final cost: Fiona needs to pay $230 for 210 burgers.
