help please!!!!!!!!!!
A sporting goods store sells sets of golf clubs with steel shafts for $359. Sets of golf clubs with graphite shafts cost $559. Last month the store sold 14 sets of golf clubs for $6,826. How many sets of each type of golf club were sold? Set up and solve a system of equations to find the answer.

Question

08-07-2016
Mathematics

contestada

help please!!!!!!!!!!
A sporting goods store sells sets of golf clubs with steel shafts for $359. Sets of golf clubs with graphite shafts cost $559. Last month the store sold 14 sets of golf clubs for $6,826. How many sets of each type of golf club were sold? Set up and solve a system of equations to find the answer.

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Bubba Bubba · Answer 1 · 2016-07-08T08:57:35+02:00

OK, here we go....
We know: x + y = 14
We know: 359x + 559y = 6826
Solve for y ... (x = 14-y)

359 x (14-y) + 559y = 6826
359 x 14 - 359 x y + 559y = 6826
5026 - 359 x y + 559y = 6826
5026 - 359y + 559y = 6826
5026 + 200 y = 6826
200y = 6826 - 5026
200y = 6826 - 5026
200y = 1800
y = 1800 / 200
y = 9
-------------
359x + 559 (9) = 6826
359x + 5031 = 6826
359x = 6826 - 5031
359x = 1795
x = 5

...And, I'll bet you've been thinking that you'll never need to know or use algebra in you life outside school. Am I right?