Solve the following.
1. Five- eighths of the participants who attended the summer camp
arrived on Monday morning while 1/8
of them arrived on Monday
night. What fraction of the participants arrived
on Monday?
2. Juan ran 1/6 hour on his first day and 2/6 hour on his second day.
What part of an hour did Juan run in two
days?
3. Norman wears turban and cap to protect him from the sun. It takes 1
14 meters of cloth to make a turban
, 2 3/8 meters to make a cap.
How much cloth is used?
4. Angel bought 2½ kg of pork and 3 kg of chicken. How many
kilogram of meat did
she buy?
5. Mr. Rosal herded the livestock for 33 3/5 m in the morning. In the
evening the herd travelled 22
2/5 m. How far did the herd travel?
Answer (1)
Answer:Let's solve each of the given problems step by step: 1. Fraction of Participants Arriving on Monday: - Given: 5/8 arrived on Monday morning, and 1/8 arrived on Monday night.- Total participants = 5/8 + 1/8 = 6/8 = 3/4- Fraction of participants arriving on Monday = 5/8 + 1/8 = 6/8 = 3/4 Therefore, 3/4 of the participants arrived on Monday. 2. Juan's Running Time in Two Days: - Juan ran 1/6 hour on the first day and 2/6 hour on the second day.- Total running time in two days = 1/6 + 2/6 = 3/6 = 1/2 hour Juan ran 1/2 hour in two days. 3. Amount of Cloth Used for Turban and Cap: - Cloth needed for turban = 1 1/4 meters = 5/4 meters- Cloth needed for cap = 2 3/8 meters = 19/8 meters- Total cloth used = 5/4 + 19/8 = 10/8 + 19/8 = 29/8 meters Therefore, 29/8 meters of cloth is used. 4. Total Meat Bought by Angel: - Angel bought 2 1/2 kg of pork = 5/2 kg- Angel bought 3 kg of chicken- Total meat bought = 5/2 + 3 = 5/2 + 6/2 = 11/2 kg Angel bought 11/2 kg of meat. 5. Distance Travelled by the Herd: - In the morning: 33 3/5 m = 1685/5 m = 337 m- In the evening: 22 2/5 m = 112/5 m = 22.4 m- Total distance travelled = 337 m + 22.4 m = 359.4 m The herd traveled 359.4 meters in total. If you need further clarification or assistance with any of the solutions, feel free to ask!
