Question

Dan spends
3/4 of his wages on rent and
1/8 on food. If he makes £240 per week, how much money does he have left?

Answer 1

Answer:

22

Step-by-step explanation:

264 x (1/4) = 66

264 x (2/3) = 176

Total = 242

Remaining = 264 - 242 = £22

or use a lowest common denominator:

1/4 + 2/3 is the same as 3/12 + 8/12 = 11/12. The remainder is (12/12 - 11/12) = 1/12

264 x (1/12) = £22

Answer 2

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

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \tt{ \red{ Total \: \: amount \: \: of \: \: wages = \pounds \: 240}} \\ \\ \tt{ \pink{Amount \: \: spend \: \: on \: \: rent = \frac{3}{4} \: \: of \: \: \pounds \: 240}} \\ \\ \tt{ \purple{Amount \: \: spend \: \: on \: \: food = \frac{1}{8} \: \: of \: \pounds 240}} \\ \\ \underline{ \mathfrak{ \: \: To \: \: find : \to \: }} \\ \\ \: \: \: \: \: \: \:\text{ \green{ Amount of money left = ?}}$

$\mathfrak{Now,} \\ \\ \tt{ \frac{3}{4} \: \: of \: \: \pounds \: 240 = \pounds( \frac{1}{8} \times 240) = \red{\pounds \: 180}} \\ \\ \tt{Amount \: \: spend \: \: on \: \: rent = \pink{ \pounds \: 180}} \\ \\ \tt{ \frac{3}{4} \: \: of \: \: \pounds \: 240 = \pounds( \frac{1}{8} \times 240) = \red{\pounds \: 30}} \\ \\ \tt{Amount \: \: spend \: \: on \: \: food = \pink{ \pounds \: 30}} \\ \\ \underline{ \mathfrak{ \: \: Suppose, \: \: }} \\ \\ \: \: \text{ \purple{ \: \:The money left = \pounds \: x \: \: }}$

$\underline{ \bold{ \: \: A.T.Q., \: \: }} \\ \\ \: \: \: \: \: \: \: \red{\sf{180+ 30+ x = 240}} \\ \\ \pink{ \sf{ \implies \: 210 + x = 240}} \\ \\ \green{ \sf{\implies \: x = 240 - 210}} \\ \\ \: \: \: \: \: \: \: \: \: \: \purple{ \sf {\therefore \: \: x = 30 \: \: }}$

$\text{ \blue{ \: \:The money that Dan has left = \red{\pounds \: 30} .\: \: }}$