Math, asked by qsubhan, 10 months ago

Colin spends 3/ 4 of his wages on rent and 1 /8 on food. If he makes £192 per week, how much money does he have left?

Answers

Answered by TRISHNADEVI
5

 \huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \:   \: SOLUTION\:  \: } \mid}}}}}

 \underline{ \mathfrak{ \:  \: Given, \:  \: }} \\  \\  \tt{ \red{ Total \:  \:  amount \:  \:  of  \:  \: wages =  \pounds \: 192}} \\  \\  \tt{ \pink{Amount \:  \:  spend  \:  \: on  \:  \: rent =   \frac{3}{4} \:  \:   of   \: \:  \pounds \: 192}} \\  \\  \tt{ \purple{Amount \:  \:  spend  \:  \: on \:  \:  food =   \frac{1}{8} \:  \:  of \:  \pounds 192}} \\  \\  \underline{ \mathfrak{ \:  \: To  \:  \: find :  \to \: }} \\  \\   \:  \:  \:  \:  \:  \:  \:\text{ \green{ Amount of money left = ?}}

 \mathfrak{Now,} \\  \\  \tt{ \frac{3}{4}  \:  \: of  \:  \:  \pounds \: 192 =  \pounds( \frac{1}{8}  \times 192) =   \red{\pounds \: 144}} \\  \\  \tt{Amount \:  \:  spend  \:  \: on \:  \:   rent = \pink{ \pounds \: 144}} \\  \\   \tt{ \frac{3}{4}  \:  \: of  \:  \:  \pounds \: 192 =  \pounds( \frac{1}{8}  \times 192) =   \red{\pounds \: 24}} \\  \\  \tt{Amount \:  \:  spend  \:  \: on \:  \:   food  = \pink{ \pounds \: 24}} \\  \\  \underline{ \mathfrak{ \:  \: Suppose, \:  \: }} \\  \\   \:  \: \text{ \purple{ \:  \:The money left =  \pounds \: x \:  \: }}

 \underline{ \bold{ \:  \: A.T.Q., \:  \: }} \\  \\   \:  \:  \:  \:  \:  \:  \:  \red{\sf{144 + 24+ x = 192}} \\  \\  \pink{ \sf{ \implies \: 168 + x = 192}} \\  \\  \green{ \sf{\implies \: x = 192 - 168}} \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \purple{ \sf {\therefore \:  \: x = 24 \:  \: }}

\text{ \blue{ \:  \:The money that Colin has left =   \red{\pounds \: 24} .\:  \: }}

Answered by addisonre
0

Answer:

idk

Step-by-step explanation:

Similar questions