Question

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?​

Answer 1

34

Explanation:

Answer 2

she spend $600 more on phone than on bag.

part A:

let the money she have be m,

she spent on mobile phone:
`\sf m * (4)/(5)` →
`\sf (4)/(5)m`

remaining:
`\sf m-(4)/(5)m` →
`\sf (1)/(5)m`

she spent on bag:
`\sf (1)/(5)m * (2)/(3)` →
`\sf (2m)/(15)`

remaining:
`\sf \sf (1)/(5)m - \sf (2m)/(15)` →
`\sf (1)/(15)m`

so,


`\sf (1)/(15)m` = 60

m = $900

part B:

money she spent on mobile phone:
`\sf (4)/(5)m` →
`\sf (4)/(5)(900)` → $720

money she spent on bag:
`\sf (2m)/(15)` → 
`\sf (2)/(15) * 900` → $120

more money she spent on mobile phone than on bag:

mobile phone cost - bag cost

720 - 120

$600