Answer to Question #22350 in Algebra for clarkie
(a) How many students owned either a car or an iPod ( but not both)
(b) How many students do not own either a car or an iPod?
did Ralph and Tommy score individually?
Answer.Let R be the scores of Ralph, and T be the scores ofTommy.
R = 2T-6
R+T = 30
Therefore 30 = R+T =2T-6+T = 3T-6
3T = 36
R = 30-T = 18
Thus Ralph scores 18, and Tommy 12
3b. The ages of three sisters are three even consecutiveintegers. If the sum of the 1st, four times the 2nd, and twice the 3rd is 86,
what are the three ages?
Let X be the age of the youngest sister.
Then two other sisters have ages X+2 and X+4respectively.
We also know that
X + 4(X+2) + 2(X+4) = 86
X + 4X + 8 + 2X + 8 = 86
7X = 86 - 16 = 70
X = 10
So the ages of sisters are
10, 12, 14
3c. You are buying a computer at a markdown price of$960. If the markdown price was 20% off the original price, how much was the
Let X be the original price.
Then the markdown price constitute 80% of X, that is
960 = 0.8 X
X = 960/0.8 = 1200
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