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16 October, 17:52

Mr. thomas spent $1600 of his savings on a television set and 2/5 of the remainder on a refrigerator. he had 1/3 of his original amount of savings left.

a) what was mr. thomas's original savings?

b) what was the cost of the refrigerator?

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  1. 16 October, 18:01
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    Let x = original savings

    (x-1,600) - 2/5 (x-1,600) = 1/3x

    (x-1,600) - 2/5 + 640 = 1/3x

    (3/5) x - 960 = 1/3x

    (3/5) x - (1/3) x = 960

    (4/15) x = 960

    (15/4) (4/15) x = (15/4) 960

    x = 15 * 240 (960/4 = 240)

    x = $3,600 is his original savings

    Check:

    $3,600 - 1,600 = 2,000

    (2/5) ($2,000) = $800

    2,000 - 800 = 1,200 left over
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