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At a certain time in a park, the number of heads and the number of legs of monkeys and human visitors were counted, and it was found that there were 54 heads and 148 legs. Find the number of monkeys in the park.
20
16
18
14
To solve this problem, we need to set up equations based on the information given:
- Monkeys have 1 head and 4 legs. Humans have 1 head and 2 legs.
- Let's denote the number of monkeys as M and the number of humans as H.
Based on the count of heads:
- \( M + H = 54 \)
Based on the count of legs:
- \( 4M + 2H = 148 \)
Solving these equations:
1. From the first equation: \( H = 54 - M \)
2. Substitute \( H \) in the second equation:
- \( 4M + 2(54 - M) = 148 \)
- \( 4M + 108 - 2M = 148 \)
- \( 2M = 40 \)
- \( M = 20 \)
- The calculation shows that there are 20 monkeys.
- Option:1, 20
- Option:2, 16
- Option:3, 18
- Option:4, 14
By: Parvesh Mehta ProfileResourcesReport error
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