The answer is: " $ 1,760. " .
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Explanation:
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x − (x/5) − (x/8) = 1188 ; Solve for "x" (value in dollars) ;
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To make matters easier, multiple the entire equation (both sides) by "40" ;
to get rid of the fractions:
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40 * {x − (x/5) − (x/8) = 1188 } ;
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to get: → 40x − 8x − 5x = 1188 * 40 ;
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→ 27x = 47520 ; Divide EACH side of the equation by "27" ;
to isolate "x" on one side of the equation; and to solve for "x" ;
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→ 27x / 27 = 47520 / 27 ;
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to get: → x = 1760 dollars; or, " $ 1,760 " .
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To check our work, let us plug this value for "x" in the original equation, to see if the equation holds true:
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x − (x/5) − (x/8) = 1188 ;
1760 − (1760/5) − (1760/8) =? 1188 ?
1760 − 352 − 220 = ? 1180 ? Yes! (check on calculator).
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