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.Com
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)   (Show Source): You can put this solution on YOUR website!
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











Answer by greenestamps(13200)   (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)   (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

RELATED QUESTIONS

At a local store, Kelly and Martin bought some notebooks and pencils. Kelly bought 4... (answered by ankor@dixie-net.com)
Tim bought several notebooks at SN Store for ₱2.25 each and he bought a few more... (answered by Seutip)
Notebooks may be bought in bulk. If you can avail the first 10 notebooks at Php 15 each,... (answered by ewatrrr,ikleyn)
Lex spent $8.40 for several pencils costing 20 cents each and some notebooks costing... (answered by solver91311)
the sbc bookstore sold 348 notebooks during the first day of school, some at P 22.50 each (answered by checkley71)
Judy bought P pencils at 14 cents each and n notebooks at 1.25$ each. Write an equation... (answered by stanbon)
Jamie spent 1/4 of her money on 20 notebooks and 48 pens. The cost of each notebook was 3 (answered by ikleyn)
Forty students bought caps at the baseball game. Plain caps cost $4 each and deluxe ones (answered by solver91311,oberobic)
The bookstore sold 348 notebooks the first day of classes, some at $2.85 each and the... (answered by chana)