# David and Joseph have a total of 328 marbles. Matthew and David have 176 marbles. Joseph has 5 times as many marbles as Matthew. How many marbles doesDavid have?

2
by nipinpnair

Log in to add a comment

by nipinpnair

Log in to add a comment

d + j = 328 --------------(1)

d + m = 176 --------------(2)

Subtracting (2) from (1):

j - m = 328 - 176 = 152 ---(3)

As j = 5m (given),

therefore equation becomes<

5m - m = 152 or 4m = 152 or m = 38 ----------(4)

From (2) and (4), d + m = d + 38 = 176 ==> d = 176 - 38 = 138

x + y = 328

x + z = 176

y=5z

by comparing the above three

5z+x=328

z+x=176

subtracting the two equations

we can get

david has 138 marbles