A banana and an apple balance a mango. A banana balances an apple and a nectarine. Two mangoes balance with three nectarines how many apples will balance with a banana

Guest Feb 2, 2020

#1**+1 **

This is just a few clever algebraic manipulations...

Let's say b = banana, a = apple, m = mango, n = nectarine

b + a = m

b = a + n

2m = 3n

Since b = a + n,

b + a = m ---> a + n + a = m

2a + n = m

Since 2m = 3n, n = 2m/3

2a + 2m/3 = m

2a + 2m/3 = 3m/3

2a = m/3

a = m/6

1/6 of a mango balances an apple.

mathleteig Feb 2, 2020