Asked by Anonymous
Gale and Austin shared the total cost of a present. Gale paid $8 more than 3/7 of the cost of the present. Austin paid $28. How much did the present cost?
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Anonymous
Let the cost of the present be $x.
Now, Gale paid $8 more than 3/7 of the cost of the present, i.e., 3/7x + 8
Amount Austin paid = $28
Thus, (3/7x + 8) + 28 = x
3/7x + 36 = x
Subtracting x from both sides,
-4/7x + 36 = 0
Subtracting 36 from both sides,
-4/7x = -36
Multiplying -7/4 from both sides,
-4/7x * -7/4 = -36 * -7/4
x = 63
Thus, cost of the present is $63.
Now, Gale paid $8 more than 3/7 of the cost of the present, i.e., 3/7x + 8
Amount Austin paid = $28
Thus, (3/7x + 8) + 28 = x
3/7x + 36 = x
Subtracting x from both sides,
-4/7x + 36 = 0
Subtracting 36 from both sides,
-4/7x = -36
Multiplying -7/4 from both sides,
-4/7x * -7/4 = -36 * -7/4
x = 63
Thus, cost of the present is $63.
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