The mathematics department sold $1150.00 worth of packages of pens and markers. They sold a total of 310 packages, including 10 more packages of pens than markers. If one package of pens and one package of markers cost $7.50, what was the price of each package?
2007-12-04 06:44:14 · 4 answers · asked by otherthanot 1 in Science & Mathematics ➔ Mathematics
Let P = the number of packages of pens sold and M = the number of packages of markers.
P + M = 310
P = M + 10
This can be solved for P and M.
Let CP = cost of a package of pens and CM = cost of a packge of markers.
( P ) ( CP ) + ( M ) ( CM ) = 1150
CP + CM = 7.50
You know P and M; solve this system of equations for CP and CM.
2007-12-04 06:51:40 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋
if x is number of packages of markers
then x + 10 is the number of pens
given they sold 310 totals
x + x + 10 = 310
2x = 300
x = 150
150 packages of markers and 160 packages of pens are sold.
now let a be cost of one package of marker
and b be the cost of one package of marker
a + b = 7.50
150a is the total cost for 150 packages of markers
160b is the total cost for 160 packages of pens
given they sold $1150.00 worth of all packages
150a + 160b = 1150
a + b = 7.50
a = 7.50 - b
150(7.50 - b) + 160b = 1150
1125 - 150b + 160b = 1150
10b = 25
b = 2.5
a = 7.5 - 2.5
a = 5
one package of makers cost $5
one package of pens cost $2.5
Rec
2007-12-04 06:57:56 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Pens = $ 5.00 Markers = $2.5
2007-12-04 07:22:11 · answer #3 · answered by CatNip 6 · 0⤊ 0⤋
My guess is $3.70 each. I'm in an advance algebra class so i don't think i'm wrong! (I'M IN 8TH GRADE) i take high school algebra.
2007-12-04 06:57:12 · answer #4 · answered by Mrs. Cullen Black [{♥}] 2 · 0⤊ 0⤋