SOLUTION: A bookshop sold plain notebooks at 55¢ each and glossy notebooks at $1.20 each. Michael bought some plain ones and Kingston bought some glossy ones. Kingston spent $6.00 more but

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A bookshop sold plain notebooks at 55¢ each and glossy notebooks at $1.20 each. Michael bought some plain ones and Kingston bought some glossy ones. Kingston spent $6.00 more but       Log On


   

Question 1205728: A bookshop sold plain notebooks at 55¢ each and glossy notebooks at $1.20 each. Michael bought some plain ones and Kingston bought some glossy ones. Kingston spent $6.00 more but had 8 fewer notebooks. How many notebooks did Kingston buy?
Found 3 solutions by josgarithmetic, greenestamps, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
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Money units are in cents.
k, how many Kingston bought
m, how many Michael bought


PLAIN at 55c each
Michael spent 55m

GLOSSY at 120c each
Kingston spent 120k

system%28120k-55m=600%2Cm-k=8%29

system%2824k-11m=120%2Cm=k%2B8%29

24k-11%28k%2B8%29=120

24k-11k-88=120
13k=120%2B88=208
k=208%2F13
highlight%28k=16%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Michael bought x plain notebooks at 55 cents each, spending a total of 55x cents.

Kingston bought (x-8) glossy notebooks at $1.20 (=120 cents) each, spending a total of 120(x-8) cents.

Kingston spent $6 ( = 600 cents) more than Michael:

120(x-8) = 55x+600
120x-960 = 55x+600
65x = 1560
x = 1560/65 = 24

ANSWER: The number of notebooks Kingston bought was x-8 = 16

CHECK:
Michael: 24($0.55) = $13.20
Kingston: 16($1.20) = $19.20 = $13.20 + $6.00

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A bookshop sold plain notebooks at 55¢ each and glossy notebooks at $1.20 each. Michael bought some plain ones and Kingston bought some glossy ones. Kingston spent $6.00 more but had 8 fewer notebooks. How many notebooks did Kingston buy?

Let number of notebooks Kingston bought, be N
Kingston bought 8 fewer notebooks than Michael, so Michael bought, N + 8 notebooks

Amount Kingston spent: 1.2N
Amount Michael spent: .55(N + 8) = .55N + 4.4

As Kingston spent $6 more than Michael, we get: 1.2N = .55N + 4.4 + 6
                                         1.2N - .55N = 4.4 + 6
                                                .65N = 10.4
          Number of notebooks Kingston bought, or