MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

Answer:
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.