Question
Mrs Lee went shopping at a departmental store. She spent 1/5 of her money on a TV set and $800 on a washing machine. Then, she spent 1/8 of the remaining amount on a refrigerator. After which, the amount of money left was $200 more than half of the amount she had at first. How much money did she had at first?
Answers
Answered by
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Let's start by setting up an equation to represent the information given:
Amount Mrs Lee had at first - 1/5 * amount - $800 - 1/8 * (amount - 1/5 * amount - $800) = 1/2 * amount + $200
Simplifying this equation, we get:
4/5 * amount - $800 - 1/8 * (4/5 * amount - $800) = 1/2 * amount + $200
Multiplying both sides by 40 to get rid of fractions, we get:
32 * amount - 3200 - 5 * (4 * amount - 800) = 20 * amount + 8000
Simplifying this equation, we get:
32 * amount - 3200 - 20 * amount + 4000 = 20 * amount + 8000
12 * amount = 17200
Amount Mrs Lee had at first = $1,433.33 (rounded to the nearest cent)
Therefore, Mrs Lee had $1,433.33 at first.
Amount Mrs Lee had at first - 1/5 * amount - $800 - 1/8 * (amount - 1/5 * amount - $800) = 1/2 * amount + $200
Simplifying this equation, we get:
4/5 * amount - $800 - 1/8 * (4/5 * amount - $800) = 1/2 * amount + $200
Multiplying both sides by 40 to get rid of fractions, we get:
32 * amount - 3200 - 5 * (4 * amount - 800) = 20 * amount + 8000
Simplifying this equation, we get:
32 * amount - 3200 - 20 * amount + 4000 = 20 * amount + 8000
12 * amount = 17200
Amount Mrs Lee had at first = $1,433.33 (rounded to the nearest cent)
Therefore, Mrs Lee had $1,433.33 at first.