Question

1
1. There are 65 1\2 pieces of wood which need to be painted with blue colour. The amountof paint within a bucket is enough for 5 3\4
pieces of wood. How many buckets of
paint are required in all?​

Answer 1

Answer:

Hope this is OK for you completely

Answer 2

$\\ \\ \\ \sf{\underline{\underline{ \purple{ \huge{Given:}}}}}$

✰ Number of pieces of wood which need to be painted with blue colour $= \sf{63 \times \dfrac{1}{2} = \dfrac{131}{2} }$

✰ Number of pieces of wood that can be painted within a bucket $= \sf{5 \times \dfrac{3}{4} = \dfrac{23}{4} }$

$\\ \\ \\ \sf{\underline{\underline{ \purple{ \huge{To \: Find:}}}}}$

✠ How many buckets of paint are required in all?

$\\ \\ \\ \sf{\underline{\underline{ \purple{ \huge{Solution:}}}}}$

Number of pieces of wood that can be painted within a bucket $= \sf{5 \times \dfrac{3}{4} = \dfrac{23}{4} }$

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i.e,

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${\dfrac{23}{4} }$ pieces are painted in one bucket paint.

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Now,

The number of buckets that can paint ${\dfrac{131}{2} }$ pieces of wood

$\\ \\ {\blue {\sf{ = \dfrac{Number \: of \: pieces \: of \: wood \: which \: need \: to \: be \: painted \: with \: blue \: colour }{Number \: of \: pieces \: of \: wood \: that \: can \: be \: painted \: within \: a \: bucket} }}}$

$\\ \\ \sf = \dfrac{ \dfrac{131}{2} }{ \dfrac{23}{4} }$

$\\ \\ \sf = \dfrac{131 \times 4}{23 \times 4}$

$\\ \\ \sf = \dfrac{524}{46}$

$\\ \\ \sf = 11.39$

$\\ \sf{ \therefore{Number \: of \: buckets \: of \: paint \: are \: required \: in \: all \approx{ \green { \boxed{ \sf{11 \: buckets}}}}}}$

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