SOLUTION: (1) The quotient of sixteen y divided by twenty-seven equals forty-nine. Write the expression. (2) For what value of p is 3 (4p-5)= 2 (p-8) ?

Algebra ->  Human-and-algebraic-language -> SOLUTION: (1) The quotient of sixteen y divided by twenty-seven equals forty-nine. Write the expression. (2) For what value of p is 3 (4p-5)= 2 (p-8) ?      Log On


   

Question 542923: (1) The quotient of sixteen y divided by twenty-seven equals forty-nine. Write the expression.
(2) For what value of p is 3 (4p-5)= 2 (p-8) ?
Answer by lmeeks54(111) About Me  (Show Source):
You can put this solution on YOUR website!
Problem (1): given:
16y/27 = 49
simplify and express in terms of y:
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multiply both sides by 27:
16y = 49 (27)
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divide both sides by 16:
y = (49 * 27)/16
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...
Problem (2): given:
3 * (4p - 5) = 2 * (p - 8)
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solve for p:
simplify by expanding and combining terms:
3 * (4p) - 3 (5) = 2p + 2(-8)
12p - 15 = 2p - 16
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subtract 2p to both sides:
10p - 15 = -16
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add 15 to both sides:
10p = -16 + 15
10p = -1
p = -0.1
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check your work:
3 * (4(-0.1) - 5) = 2 * (-0.1) - 8)
3 * -5.4 = 2 * -8.1
-16.2 = -16.2 checks
...
cheers,
Lee