A concession stand at the football game sold 500 candy bars for a total of $225.00. A small candy bar sells for 40 cents, and a large candy bar sells for 65 cents. How many of small candy bars were sold?
a.320 b.280 c.220 d.77
2006-10-04 10:42:16 · 7 answers · asked by twilightobsessed 2 in Education & Reference ➔ Homework Help
have x = # small candy bars and y = # large candy bars
Make 2 equations with the information you are given:
x + y = 500
.40x + .65y = 225
Take the first equation and solve for y:
x + y = 500
y = 500 - x
Now plug in the value for x into the second equation for y:
.40x + .65y = 225
.40x + .65(500 - x) = 225
distribute the .65:
.40x + 325 - .65x = 225
combine like terms:
-.25x + 325 = 225
subtract 325 from both sides:
-.25x = -100
divide both sides by -.25:
x = 400
400 small candy bars were sold.
2006-10-04 10:49:21 · answer #1 · answered by Anonymous · 1⤊ 1⤋
have x = # small candy bars and y = # large candy bars
Make 2 equations with the information you are given:
x + y = 500
.40x + .65y = 225
Take the first equation and solve for y:
x + y = 500
y = 500 - x
Now plug in the value for x into the second equation for y:
.40x + .65y = 225
.40x + .65(500 - x) = 225
distribute the .65:
.40x + 325 - .65x = 225
combine like terms:
-.25x + 325 = 225
subtract 325 from both sides:
-.25x = -100
divide both sides by -.25:
x = 400
400 small candy bars were sold.
2006-10-04 10:50:56 · answer #2 · answered by wingnutrosie 3 · 0⤊ 1⤋
x=number of small candy bars y=number of large candy bars
.4x+.65y=225
x+y=500
you can change x+y=500 to x=500-y. you can then plug in that x in the first equation.
.4(500-y) +.65y=225
200-.4y+.65y=225
200+1.05y=225
1.05y=25
y=23.8 (24)
then plug in that y in the first equation to find x,
.4x+.65y=225
.4x+.65(23.8)=225
.4x+15.47=225
.4x=209.53
x=320
so A
2006-10-04 11:03:56 · answer #3 · answered by Anonymous · 0⤊ 0⤋
280
2006-10-04 10:47:44 · answer #4 · answered by Anonymous · 0⤊ 1⤋
You need two equations:
x + y = 500
40x + 65y = 22500
Solve the first for x, then plug that result into the second equation and solve for y. Get it?
2006-10-04 10:47:51 · answer #5 · answered by andalucia 3 · 0⤊ 0⤋
okay I am not sure if this works, but you might want to give it a shot. Do 500 divided by 40. and then with that answer divide $225.00 by the answer you got. Maybe it works, maybe it doesn't. Hope it does though!!
2006-10-04 10:45:47 · answer #6 · answered by Anonymous · 0⤊ 1⤋
I dunno, but what kind of candy bars were they if they were selling that cheap?
2006-10-04 10:50:30 · answer #7 · answered by Scotty 6 · 0⤊ 1⤋