Question

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?

Answer 1

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?

Answer 2

(or solve for a relationship between mass of the bananas and plums)
(aka number of plums (mass) = number of bananas (mass) )

Answer 3

I like 7

Answer 4

yes i can solve with the equations thanks!

Answer 5

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

Answer 6

Does that make sense?

Answer 7

Please note we are talking about weight (balance scale) we are not adding apples and plums lol

Answer 8

thankyou and yes!

Answer 9

Good luck with your studies.