Question

Rita reads 3/8 of the book on Monday and 4/5 of the remainder on tuesday.If there were 30 pages unread,how many pages did the book contain?​

Answer 1

$\large\underline\bold{Question:-}$

♣Rita reads 3/8 of the book on Monday and 4/5 of the remainder on tuesday.If there were 30 pages unread,how many pages did the book contain?

$\large\underline\bold{Question:-}$

$\sf\ Let\: the\: total \:no.\: of \:pages\: of\: book\: be \:x.$

$\sf\ Then\: the \:book\: read\: on\: monday\: was \frac{3}{8}\:x.$

$\sf\ The\: book \:read \:on\: tuesday \:was \frac{4}{5} \:of \frac{5}{8}x.$

$\sf\ frac{3}{8x} + \frac{1}{2}x + 30 = x$

$\sf\ x - \frac{3}{8}x - \frac{1}{2}x = 30$

$\sf\ x(1 - \frac{3}{8} - \frac{1}{2}) = 30$

$\sf\ x(\frac{8}{8} - \frac{3}{8} - \frac{4}{8}) = 30$

$\sf\ =\frac{1}{8}x = 30$

$\sf\ =x = 30 × 8$

$\large\underline\bold\red{x = 240 pages}$

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