Question

Dan and David win some money and share it in the ratio 5:2 .Dan gets £55 more than David. How much did they win in total ?

Answer 1

Answer:

✯ Given :-

• Ratio of share = 5:2
• Dan gets €55 more than David

✯ To Find :-

Total winnings

✯ Solution :-

Let the Dans amount be 5x

5x = 2x + 55

5x - 2x = 55

3x = 55

x = 55/3

5x = 5 × 55/3 = 5x = 275/3

3x = 3 × 55/3 = 110/3

Total share => 128.34

Answer 2

$\large \bf \pink{ \underline{Solution :-}}$

$\sf We \: are \: given,$

$• \: \sf Dan \: and \: David \: share \: their \: money \: in \: the \: ratio \: 5:2$

$• \: \sf Dan \: gets \: £55 \: more \: than \: David.$

$\sf Let \: the \: constant \: be \: x$

$\sf \therefore Dan \: got \: £ 5x \: and\: David \: got \: £ 2x$

$\sf According \: to \: the \: question,$

$\sf5x - 2x = 55$

$\sf⇒3x = 55$

$\sf⇒x = \frac{55}{3}$

$\sf⇒x = 18.33$

$\sf \blue {Hence, Dan \: got £ (5 \times 18.33) =£91.65 } \: and$

$\sf \blue{David \: got \: £ (2 \times 18.33) = £36.66}$

$\sf \green{Therefore, \: they \: win \: in \: total \: = £ (91.65 + 36.66) = £128.31}$