Tameka bought 50 cans of soda (cola, grape, and orange) to serve at a party. She has 8 more colas than grape sodas, and 3 less orange sodas than grape sodas. How many of each type of soda did Tameka buy?

Number of three types of soda's can bought by Tameka that is grapes, colas and oranges are 15, 23 and 12 respectively.

Solution:

Total numbers of sodas cans bought by Tameka = 50

Three types of cans are colas, grape and orange.

Let's assume number of grape cans = x

Given that Tameka has 8 more colas can than grapes.

So number of colas can = 8 + number of grapes can = 8 + x

Also orange cans are 3 less than grape cans.

So number of orange cans = number of grape cans - 3 = x - 3

Total number of cans = number of grape cans + number of colas cans + number of orange cans

= (x) + (8 + x) + (x - 3) = 3x + 5

And Total number of cans is 50, it means

3x + 5 = 50

On solving above equation of one variable, we get

3x = 50 - 5 = 45

x = 15

Number of grapes can = x = 15

Number of colas can = 8 + x = 8 + 15 = 23

Number of orange cans = x - 3 = 15 - 3 = 12

Hence number of three types of soda's can bought by Tameka that is grapes, colas and oranges are 15, 23 and 12 respectively.