Problema Solution

The mass of a can of orange juice is 0.16 kilogram heavier than the mass of a can of mango juice. The mass of 6 cans of orange juice is the same as 9 cans of mango juice. What is the mass of each can of mango juice?

Answer provided by our tutors

Let

x = the mass of one can of orange juice

y = the mass of one can of mango juice

The mass of a can of orange juice is 0.16 kilogram heavier than the mass of a can of mango juice means:

x = y + 0.16

The mass of 6 cans of orange juice is the same as 9 cans of mango juice means:

6x = 9y

We have the following system of equations:

6x = 9y

x = y + 0.16

........

click here to see the system of equations solved for x and y

........

x = 0.48 kg

y = 0.32 kg

The mass of each can of mango juice is 0.32 kilograms.