A University Algebra Comprising I a Compendious Yet Complete And Thorough Co
A University Algebra Comprising I a Compendious Yet Complete And Thorough Co
Edward Olney
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3. Given 2a; + lly — dz= 10, and 3a; —2y + dz = 30, to find all the positive, integral values of x, y, and z. INDEa^BMINATE EQUATIONS. 195 Applications. 1. I wish to expend $100 in the purchase of three grades of sheep, worth respectively $3, $7, and $17 per head. How many of each kind can I buy ? In how many different ways can I make the purchase ? How many of the first two kinds must I take in order to get the least possible number of the third kind ? 2. A merchant has three kinds of goods. T...he value of 20 yards of the first, less the value of 21 yards of the second, is $38 ; while the value of 3 yards of the second and 4 yards of the third is $34. What is the price per yard of each kind, the question being restricted to even dollars ? What if the latter restriction be removed ? 3. In how many ways can I pay a debt of $171 with $20, $15, and $6 notes ? What is the least number of $20 notes that I can use? Of $15 notes ? What the greatest number of $6 notes ? 4. A farmer has calves worth $10, $11, and $13 per head.
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