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?
Stacey Warren - Expert brainly.com
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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?
(or solve for a relationship between mass of the bananas and plums)
(aka number of plums (mass) = number of bananas (mass) )
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yes i can solve with the equations thanks!
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
Does that make sense?
Please note we are talking about weight (balance scale) we are not adding apples and plums lol