The ratio of papayas to mangoes is 3:4 and the ratio of papaya to apple is 5:2. If there are 27 pieces of apple, hoe many mangoes are there?

Let Papayas be P, Mangoes be M, Apple be A.

Ratio of Papayas to Mangoes = 3:4 P: M = 3:4

Papaya to Apple = 5:2 P:A = 5:2

If Apples A = 27

From P:A = 5:2, P:27 = 5:2

P/27 = 5/2 Cross multiply

2*P = 5 * 27

P = 5*27/2 = 135/2 = 67.5

P:M = 3:4

67.5 : M = 3:4

67.5/M = 3/4 Cross multiply

4*67.5 = 3*M 270 = 3M

3M = 270 Divide through by 3.

M = 270/3 = 90

Number of Mangoes = 90

I m not sure of the answer but this is my best try

Papaya: Mango = 3:4

Papaya: Apple = 5:2

Lets take no of papaya as x

So, 5/2 = x/27

By cross - multiplication, x = 27*5/2

x = 67.5

Total number of papayas = 67.5

Lets take number of mangoes as y

So, 3/4 = 67.5/y

By cross multiplication, y = 90

Therefore, total number of mangoes are 90 mangoes.