Engineering Board Exam Reviewer · Word Problems: Systems of Equations · hard
When Vine meets Marco's family, a dinner party was commenced. The guests were told to share dishes with one another. Every two of them share a dish for rice, every three a dish for vegetables, and every four a dish for meat. If there are 65 dishes in all, how many guests were there?
- 48
- 60
- 72
- 84
Answer
B. 60
Solution
Let x=guests, with dishes of rice=x/2, vegetables=x/3, meat=x/4. x/2+x/3+x/4=65 gives x=60 guests.
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