Question

the 4 dozen camper in the junior division live in 6 differently coloured cabins along millers pond.the smallest cabin has 6 campers and the orange cabin is the largest with 10 capers.the yellow and green cabins are the only cabins with the same number of campers.the 13 youngest campers are in the red and blue cabins with the least number of campers.the purple cabin has 2 more campers.the purple cabin has 2 more campers then the blue cabin.how many campers are in the purple van

Answer 1

According to question

Total Number of Campers =  4 Dozen = 4*12 = 48 Campers

Total colours of cabins = 6

Given that
Orange cabin = O =10 Campers
Smallest cabin = S = 6 Campers
Yellow Cabin = Y = x Campers
Green Cabin = G = x Campers
Red Cabin + Blue Cabin = R + B = 13 Campers
Purple Cabin = P = B + 2 Campers

Now
10 +  6 + 2x +  R +  B + B + 2 = 48
16 +  2x + 13 + B + 2 = 48
2x + 29 + 5 + 2 = 48
2x  =  48 - 36
x = 6
Thus
P = 5 +  2
   = 7 Campers