3 years ago

Sunglass for $44.95 is on sale for 40% off the original price . Find the amount of discount off and new sale price

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Discount: $17.98
Sale Price: $26.97

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How to solve 6x - 9 - 2 (1 - x) = x + 9

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$x = 2.857$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857$

${ \bf{ \underbrace{To\:verify:}}}$

$6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S$

Hence verified.

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

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