Please help with below question. Thank you. geometry dash lite
Jolene spent ¼ of her salary on a bag. She bought a pair of shoes with 1/6 of the remaining money and a scarf with $225. She then gave 2/5 of the rest of her money to her mother and $180 to her son. In the end, she had 3/10 of her salary left. How much was Jolene’s salary
Source: 2015 PSLE
sushi88
Solution:
<——–Bag——–><-Shoes-><scarf=225–><——————5u – 225 = R———————->
Salary [ u ][ u ][ u ][ u ][ u ][ u ][ u ][ u ]
<——(2/5)R—><——(3/5)R——————>
<——-180+(3/10)(8u)—->
Total salary = 8u
180+(3/10)(8u) = (3/5)(5u-225) (both sides x 10)
1800 + 24u = 30u – 1350
6u = 3150
u = 525
Hence Jolene’s salary = 8u = 8 x 525 = $4200
**********************************************************************
Explanation:
2u/8u = 1/4 on Bag , 1/6 of remaining money on shoes = u, Scarf=225, Left (R)= 5u-225
2/5 of money left is given to Mother, Final Left = (3/5)(5u-225)
Given to Son + left of total salary = 180+(3/10)(8u)
Check:
Bag = 2u = 1050
Shoes = u = 525
Scarf = 225
Son = 180
Mother = (2/5)(5×525 – 225) = 960
Salary left = (3/10)(4200) = 1260
Total salary = 1050+525+225+180+960+1260 = 4200
