Lydia spent 4/5 of her money on a mobile phone and 2/3 of the remaining amount on a bag. She had $60 left. How much more money did she spend on the mobile phone than on the bag?​

Respuesta :

Answer:

34

Step-by-step explanation:

Answer:

she spend $600 more on phone than on bag.

part A:

let the money she have be m,

she spent on mobile phone: [tex]\sf m * \frac{4}{5}[/tex] → [tex]\sf \frac{4}{5}m[/tex]

remaining: [tex]\sf m-\frac{4}{5}m[/tex] → [tex]\sf \frac{1}{5}m[/tex]

she spent on bag: [tex]\sf \frac{1}{5}m * \frac{2}{3}[/tex] → [tex]\sf \frac{2m}{15}[/tex]

remaining: [tex]\sf \sf \frac{1}{5}m - \sf \frac{2m}{15}[/tex] → [tex]\sf \frac{1}{15}m[/tex]

so,

[tex]\sf \frac{1}{15}m[/tex] = 60

m = $900

part B:

money she spent on mobile phone:  [tex]\sf \frac{4}{5}m[/tex]  →  [tex]\sf \frac{4}{5}(900)[/tex]  →  $720

money she spent on bag: [tex]\sf \frac{2m}{15}[/tex]  →  [tex]\sf \frac{2}{15} * 900[/tex] → $120

more money she spent on mobile phone than on bag:

mobile phone cost - bag cost

720 - 120

$600