SOLUTION: If Mike gives Dolly 16 stamps, he will have the same number of stamps as she. If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has

Question 428561: If Mike gives Dolly 16 stamps, he will have the same number of stamps as she.
If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6.
How many stamps does Mike have at first?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If Mike gives Dolly 16 stamps, he will have the same number of stamps as she.
If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6.
How many stamps does Mike have at first?
:
Let m = no. of stamps that Mike has at first
:
Let d = no. of stamps dolly has
:
"If Mike gives Dolly 16 stamps, he will have the same number of stamps as she."
m - 16 = d + 16
m = d + 16 + 16
m = d + 32
:
"If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6."
=
Cross multiply
1(m+14) = 6(d-14)
m + 14 = 6d - 84
m = 6d - 84 - 14
m = 6d - 98
Replace m with (d+32) (from the 1st statement)
d + 32 = 6d - 98
32 + 98 = 6d - d
130 = 5d
d =
d = 26 stamps
then
m = 32 + 26
m = 58 stamps Mike had originally
:
:
See if that will check out

=

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