What was the amount of lawandas paycheck?

Question

Lawanda put $15 of her paycheck in savings.Then she spent one half of what was left on clothes.She paid $24 for a concert ticket and later spent one half of what was  then left on a book.When she got home , she had $14 left.

 

Answer 1

T = total amount of paycheck.

S = amount in savings ($15)

C = amount spent on clothes = (1/2) (T-S)

M = amount spent on concert ticket ($24)

B = amount spent on book = (1/2) (T-S-C-M)

N = how much was left ($14)

 

S+C+M+B+N = T

Now let's replace these variables with the info above.

 

15 + (1/2)(T-15) + 24 + (1/2)[T-15-(1/2)(T-15) - 24] + 14 = T

 

Distribute and combine terms

15 + T/2 - 7.5 + 24 + T/2 - 7.5 - T/4 + 15/4 - 12 + 14 = T

29.75 + .75T = T

29.75 = .25T

119 = T

 

Now let's check

T = 119

S = 15

C = (1/2)(119-15) = 52

M = 24

B = (1/2)(119-15-52-24) = 14

How much is left

T - (S+C+M+B) = 14 which is how much Lawanda has left.

 

Hope this helps.