01. Find a simple method of solving:
6751X + 3249Y = 26751
3249X + 6751Y = 23249
02. Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet. How far does the pigeon travel?
03. Nick and John were exercising when the subject of weight came up. Nick had no problem telling John his weight, but John said he had more "mass" than he wanted. He wouldn't come right out and reveal his weight; so he told Nick this riddle. " I weigh 147 pounds plus half of my weight," he said. How much does he weigh?
04. A farmer knows that 20 of his hens, housed in 3 coops, will hatch 30 eggs in 18 days. How long will it take 30 hens, housed in 4 coops to hatch the same number of eggs?
05. How can you measure 1 gallon of juice out of a barrel, if all you have available is a 3-gallon and a 5-gallon pitcher?
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Answers:
01. Add the equation to give: 10000X + 10000Y = 50000
Divide by 10000 to give: X + Y = 5
Subtract to give: 3502X - 3502Y = 3502
Divide by 3502 to give: X - Y = 1
Therefore: X = 3 and Y = 2
02. It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH=54 miles.
03. If John weighs 147 pounds plus half of his body weight, the 147 pounds represents the other half. John weighs 294 pounds.
04. You can't shorten the process of egg-hatching by increasing the number of chickens. Therefore, 30 hens will also need 18 days to hatch their eggs.
05. Fill the 3 gallon pitcher and pour it into the 5 gallon pitcher. Now fill the 3 gallon pitcher again and fill the 5 gallon pitcher to capacity. What remains in the 3 gallon pitcher is one gallon of juice.
6751X + 3249Y = 26751
3249X + 6751Y = 23249
02. Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet. How far does the pigeon travel?
03. Nick and John were exercising when the subject of weight came up. Nick had no problem telling John his weight, but John said he had more "mass" than he wanted. He wouldn't come right out and reveal his weight; so he told Nick this riddle. " I weigh 147 pounds plus half of my weight," he said. How much does he weigh?
04. A farmer knows that 20 of his hens, housed in 3 coops, will hatch 30 eggs in 18 days. How long will it take 30 hens, housed in 4 coops to hatch the same number of eggs?
05. How can you measure 1 gallon of juice out of a barrel, if all you have available is a 3-gallon and a 5-gallon pitcher?
.
.
.
.
.
.
.
.
.
.
Answers:
01. Add the equation to give: 10000X + 10000Y = 50000
Divide by 10000 to give: X + Y = 5
Subtract to give: 3502X - 3502Y = 3502
Divide by 3502 to give: X - Y = 1
Therefore: X = 3 and Y = 2
02. It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH=54 miles.
03. If John weighs 147 pounds plus half of his body weight, the 147 pounds represents the other half. John weighs 294 pounds.
04. You can't shorten the process of egg-hatching by increasing the number of chickens. Therefore, 30 hens will also need 18 days to hatch their eggs.
05. Fill the 3 gallon pitcher and pour it into the 5 gallon pitcher. Now fill the 3 gallon pitcher again and fill the 5 gallon pitcher to capacity. What remains in the 3 gallon pitcher is one gallon of juice.
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