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Word Problems
100

1/2x-1=3

x = 8

100

Eight less than 7 times a number is the same as 4 more than 3 times the number. Find the number.

3

200

5x + 8 = 13 – 2x

x = 5/7

200

The total cost of 5 pens and 15 pencils is $33. If the pencils cost 20 cents each, find the cost of each pen.

$6

300

Is 48 a solution to  1/3(x+4)=20? 

No

300

A 12-inch candle and an 18-inch candle are lit at 6 pm. The 12-inch candle burns 0.5 inches every hour. The 18-inch candle burns two inches every hour. At what time will the two candles be the same height? Let h represent the number of hours.

h = 4 hours

10 pm

400

3(3 – 2x) – (1 + x) = 10 – 13x

x = 1/3

400

The first side of a triangle is 8 meters longer than twice the second side. The third side is 3 times the second side. The perimeter is 128 meters. Find all three sides.

48 m, 20 m, 60 m

500

Is -5 1/2 a solution to 3x – 1 = 5x + 10?

Yes

500

Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together, they have a total of $63. How much money does each person have?

Eva = $20, Justin = $27.50, Emma = $15.50

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