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Hi Shelly,
Q106.8
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- 5 These twelve Jesus sent out with the following instructions: “Do not go among the Gentiles or enter any town of the Samaritans. ( I) 6 Go rather to the lost sheep of Israel. ( J) 7 As you go, proclaim this message: ‘The kingdom of heaven. ( K) has come near.’ 8 Heal the sick, raise the dead, cleanse those who have leprosy, a drive out.
Added keyboard shortcut (speed) 4. Added OSD (On-screen display) feature. Drag & Drop is available while video is playing. Application is available to move while video is playing.
I like this problem a lot partly because there are so many ways to solve it. If your son knows some algebra he can solve it using the algebraic technique used on the algebra.com web site.
This problem can however be presented to a student as soon as he or she learns to do arithmetic with decimals. I think this is wonderful problem to give to a group of such students and have them work on a joint solution. I am going to use the numeric values in the problem referred to above and refer to the three chickens as a rooster, a hen and a chick with the rooster the heaviest and the chick the lightest.
The rooster and the chick weigh 8.5 kg and the hen and chick weigh 6.1 kg. Thus the rooster weighs 8.5 - 6.1 = 2.4 kg more than the chicken. But the rooster and the hen together weigh 10.6 kg. Hence, on the scale with the rooster and the hen replace the rooster by an identical hen and a 2.4 kg weight. The scale will still read 10.6 kg. Remove the 2.4 kg weight and the scale reads 10.6 - 2.4 = 8.2 kg. Thus two chickens weigh 8.2 kg. What does one chicken weigh?
A third solution comes from an observation. What does 10.6 + 8.5 + 6.1 = 25.2 kg represent in terms of roosters, hens and chicks?
Qq 10.6.8 Version
I hope this helps,
Penny
I think I might know what you mean, and if so, it's not a ratio problem but a problem in linear algebra.
Are the data in a form like:
Qq 10.6.8 Latest
X and Y together weigh A
Y and Z together weigh B
Z and X together weigh C ?
This gives rise to the linear equation system
x + y = A
y + z = B
x + z = C
Qq 10.6.8 Price
This isn't in triangular form, so has no obvious 'weak spot.' But you can (for instance) subtract the second equation from the first to get a second equation in x and z; then add this to the third to eliminate z.
Qq 10.6.8 Free
Good Hunting!
RD