polyas problem
1. Jan and Marissa both swim at the local pool for exercise. They met each other while swimming on July 2. Marissa asked, “How often do you swim?” “I swim every third day, so my next workout will be on July 5,” said Jan. “Well, I swim every fourth, so my next workout will be on July 6,” said Marissa. On what dates in July will the 2 girls both swim if they stick to their schedules? Problem
2. A farmer has 15 animals, some of them pigs and some chickens. Together they have a total of 40 legs. How many pigs and how many chickens does the farmer have?
1. Jan and Marissa both swim at the local pool for exercise. They met each other while swimming on July 2. Marissa asked, “How often do you swim?” “I swim every third day, so my next workout will be on July 5,” said Jan. “Well, I swim every fourth, so my next workout will be on July 6,” said Marissa. On what dates in July will the 2 girls both swim if they stick to their schedules? Problem
2. A farmer has 15 animals, some of them pigs and some chickens. Together they have a total of 40 legs. How many pigs and how many chickens does the farmer have?
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Answer:
1.)= 14 and 26
2.)n = 5
y = 10
Step-by-step explanation:
1.) Jan every third day
Marissa every fourth day
They met- July 2
Jan- 2, 5, 8, 11, 14, 17, 20, 23, 26, 29
Marissa- 2, 6, 10, 14, 18, 22, 26, 30
2.)Let pigs is: n
Chicken is: y
n + y = 15
4n + 2y = 40
2n + y = 20
n + y = 15