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Answer:
19 small and 11 large were sold
Explanation:
Systems of Equations
Gather your info:
249.99 (small mowers) are x
329.99 (large mowers) are y
249.99x + 329.99y = $8379.70 total money made
x + y = 30 total were sold
substitution method is what I used.
1. Substitute y-30 (because x = 30 - y when you subtract y from both sides) for x and get 249.99(30-y) + 329.99y = 8379.70.
2. Then distribute the 249.99 to the -y and 30 to get -249.99y + 7499.70 +329.99y = 8379.70
3. Then combine like terms to get 80y +7499.70 =8379.70.
4. Finally, subtract 7499.70 from both sides to get 80y=880.
5. Divide both sides by 80 to get y=11. So there were 11 large lawn mowers sold and that means the 19 left to get 30 total. So 19 have to be the small mowers.
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