Question

7. The cost of two cushions and three pillows is 1410. If each cushion costs
200 more than the pillow, find the cost of the cushions and pillows​

Answer 1

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S O L U T I O N :

Let the cost of one pillow will be Rs.r

Let the cost of one cushions will be Rs.r + 200

$\sf{According\:to\:the\:question\::}$

$\begin{gathered}\red\longrightarrow\sf\blue{2(r+200) + 3(r)=1410}\\\\\orange\longrightarrow\sf\green{2r+400+3r=1410}\\\\\pink\longrightarrow\sf\red{2r+3r+400=1410}\\\\\green\longrightarrow\sf\pink{5r+400=1410}\\\\\blue\longrightarrow\sf\orange{5r=1410-400}\\\\\longrightarrow\sf\purple{5r=1010}\\\\\red\longrightarrow\sf\green{r=\cancel{1010/5}}\\\\\purple\longrightarrow\bf{r=Rs.202}\end{gathered}$

$\sf\purple{thus,}$

The cost of one pillow is r = Rs.202.

The cost of one Cushions is (r+200) = Rs.(202 + 200) = Rs.402

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