The Madison Local High School marching band sold gift wrap to earn money for a band trip to Orlando,Florida .The gift wrap in solid colors sold for $4.00 per roll ,and the print gift wrap sold for $6.00...
Ah, word problems! The trick is to convert the given information into two equations in two unknowns. Let's let S be the number of solid color rolls sold, and P be the number of print rolls.
The first equation is easy:
(eq. 1): S + P = 480
We're given that information: the total number of rolls sold. For the second equation, use the given price information ($4/roll for the plain, $6/roll for the print).
(eq. 2): 4S + 6P = 2340
Again, we're given the total sales, and we know how much each kind costs.
Now it's just some basic algebra. Let's rearrange equation 1 to get S by itself:
S = 480 - P
Then use that value in equation 2, and solve for P:
4S + 6P =2340
4(480 - P) + 6P = 2340
1920 - 4P + 6P = 2340
2P = 420
P = 210
Now we know that the MLHS band sold 210 rolls of print paper, which means they sold 270 rolls of solid. You can your answers in the original equations. If they are the right values, both equations will work out.
270 + 210 = 480, eq. 1 is right.
(4 x 270) + (6 X 210) = 1080 + 1260 = 2340, eq. 2 checks.
Dec 13, 2010 |
Computers & Internet