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sjheinis
Scarlett Barbosa
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Ezra collected 20 items in all.He collected 2 fewer bottles than jars.He collected 6 more cans than bottles.How many did he collect of each?
E = Total Ezra collected. C = Cans collected. B = Bottles collected. J = Jars collected. Therefore, E = C + B + J. E = 20 = C + B + J. (Ezra collected 20 items in all) J = B + 2 (He collected 2 fewer bottles than jars) C = B + 6 (He collected 6 more cans than bottles) Substituting into the equation we now have: 20 = (B + 6) + B + (B + 2). 20 = 3B + 8. 12 = 3B. B = 4. (Bottles collected) Substitute B (bottles collected) into the equations for J (jars) and C (cans): J = 4 + 2 = 6 (Jars collected). C = 4 + 6 = 10 (cans collected). Therefore Ezra collected 4 bottles, 6 jars, and 10 cans.
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