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Armando is selling rulers. he bought rulers for 0.20c each, and sold them (except foe broken ones)
at N$1.10 each to make a profit of N$306.50. The number of broken rulers is 38. How many rulers did he buy?
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Let n be the number of rules he bought.
Then the number of rules he sold was (n-38).
He spent 0.2*n dollars to buy n rules.
He collected 1.10*(n-38) dollars by selling the rules.
His profit is the difference
1.10(n-38) - 0.2n dollars.
The profit equation is
1.10(n-38) - 0.2n = 306.50 dollars.
Simplify and find n
1.10n - 1.1*38 - 0.2n = 306.50
0.9n = 306.50 + 1.1*38
0.9n = 348.3
n = 348.3/0.9 = 387.
ANSWER. Armando bought 387 rulers.
Solved.