Question

Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £464 per week, how much money does he have left?

Answer 1

Answer: 101.5

Step-by-step explanation:

464 x 0.75 = 348 | 464 - 348 = 116 | 116 x 0.125 = 14.5 | 116 - 14.5 = 101.5

What you have to do first is find out 3/4, or 0.75 of 464, which is 348. Next, you have to subtract 348 from 464 to get 116. Then you have to find out 1/8, or 0.125 of 116, which is 14.5. The rest is easy: subtract 14.5 from 116 to get 101.5. That is your answer.

Answer 2

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

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \tt{ \red{ Total \: \: amount \: \: of \: \: wages = \pounds \: 464}} \\ \\ \tt{ \pink{Amount \: \: spend \: \: on \: \: rent = \frac{3}{4} \: \: of \: \: \pounds \: 464}} \\ \\ \tt{ \purple{Amount \: \: spend \: \: on \: \: food = \frac{1}{8} \: \: of \: \pounds 464}} \\ \\ \underline{ \mathfrak{ \: \: To \: \: find : \to \: }} \\ \\ \: \: \: \: \: \: \:\text{ \green{ Amount of money left = ?}}$

$\mathfrak{Now,} \\ \\ \tt{ \frac{3}{4} \: \: of \: \: \pounds \: 464 = \pounds( \frac{1}{8} \times 464) = \red{\pounds \: 348}} \\ \\ \tt{Amount \: \: spend \: \: on \: \: rent = \pink{ \pounds \: 348}} \\ \\ \tt{ \frac{3}{4} \: \: of \: \: \pounds \: 464 = \pounds( \frac{1}{8} \times 464) = \red{\pounds \: 58}} \\ \\ \tt{Amount \: \: spend \: \: on \: \: food = \pink{ \pounds \: 58}} \\ \\ \underline{ \mathfrak{ \: \: Suppose, \: \: }} \\ \\ \: \: \text{ \purple{ \: \:The money left = \pounds \: x \: \: }}$

$\underline{ \bold{ \: \: A.T.Q., \: \: }} \\ \\ \: \: \: \: \: \: \: \red{\sf{348 + 58+ x = 464}} \\ \\ \pink{ \sf{ \implies \: 406 + x = 464}} \\ \\ \green{ \sf{\implies \: x = 464 - 406}} \\ \\ \: \: \: \: \: \: \: \: \: \: \purple{ \sf {\therefore \: \: x = 58 \: \: }}$

$\text{ \blue{ \: \:The money that Colin has left = \red{\pounds \: 58} .\: \: }}$