Question

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?

Answer 1

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.