maths
posted by cbse 8th on .
the weight of 4 boxes together is 66.5kg.the weight of box B is 2kg less than box A.and the weight of box C is 1.5kg more than box A.if the weight of box D is 1.5kg more than box C.find the weight of each box

look at what we have:
a+b+c+d = 66.5
b = a2
c = a+1.5
d = c+1.5
Start substituting:
a+(a2)+(a+1.5)+((a+1.5)+1.5) = 66.5
a=16.0
b=14.0
c=17.5
d=19.0 
b = a2
c = a+1.5
d = c+1.5 = a+1.5 + 1.5 = a+3
a+b+c+d = 66.5
a + a2 + a+1.5 + a+3 = 66.5
4a = 64
a= 16
box A = 16
box B = 14
box C = 17.5
box D = 19
check:
sum = 66.5
All is good.