A stamp collector bought 160 stamps for $25.00. The purchase included 5¢ stamps, 15¢ stamps, and 25¢ stamps. The number of 15¢ stamps is three times the number of 5¢ stamps. How many of each type of stamp was purchased?
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I found 25 cents and 15 cents, but i cant seem to find 5 cents
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how did you get 4x?
let 5cents stamps to be x and so for 15cents and 25 cents as y ,z respectively
i addded 3x + x
now 15 cts stamps are thrice the time of 5 cts
now again total no. stamps is 160
hence x + y + z =160
also total amount is 25 $
solve all three equetions for solutions
would i plug in 25 for x y and z?
no x for 5 , y for 15 and 25 for z
from 1st eq. y=3x
puting in 2nd and 3rd we have
x+3x+z=160 => 4x + z = 160 ............1
and 5x + 15*3x + 25 z = 2500 ..........2 (since in doller not in cents)
=> 50x + 25z =2500 or 2x + z = 100 .........2
wouldnt it be .5 .15 .25?
now from new equation 4x +z =160
and 2x + z =100
2(100-z) + z = 160
200 -2z +z =160
put in 2x +z = 100 =>
x=(100-40 ) / 2
x = 30
and y = 3*30 as 3x
y=90 hence solved as
30 stamp for 5 c
40 stamps for 25 c
and 90 stamps for 15 c
yes .5 .25 .15 for 25
or 5 25 15 for 2500 both are same