anonymous
  • anonymous
on a balance scale 3 apples and 1 banana exactly balance 10 plums. Also 1 apple and 6 plums balance 1 banana. How many plums will balance one banana?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I wrote two equations relating the masses of apples (a), bananas (b) and plums (p). 3 a + 1b = 10p 1a + 6p = 1b Can you solve this system of equations?
anonymous
  • anonymous
(or solve for a relationship between mass of the bananas and plums) (aka number of plums (mass) = number of bananas (mass) )
radar
  • radar
I like 7

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anonymous
  • anonymous
yes i can solve with the equations thanks!
radar
  • radar
Here is why: From first relationship given you can write 10 plums - 3 apples = 1 banana From the second relationship you can write when multiplying the equation by 3: 3 apples + 18 plums = 3banana. Now writing them to see how they look 3 apples + 18 Plums =3 banana -3 apples +10 Plums = 1 banana Now add these two equations ------------------------------ 28 Plums = 4banana divide thru by 4 7 Plums = 1 banana
radar
  • radar
Does that make sense?
radar
  • radar
Please note we are talking about weight (balance scale) we are not adding apples and plums lol
anonymous
  • anonymous
thankyou and yes!
radar
  • radar
Good luck with your studies.

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