Question

Rushton had $90 to spend at a baseball game. She spent 31/45 of her money on her ticket. Then, she spent 3/7 of her remaining money at the concession stand. While walking back to her seat, she saw a new hat on sale for $18. Did Mme Rushton have enough money left to buy the hat? Show all of your work.

Answer 1

You can solve this with proportions.

x/50=31/45
45x=31(90)
45x=2790
x=62
90-62= 28
After spending money on a ticket, Rushton has 28 dollars remaining.

x/28=3/7
7x=84
x=12
28-12=16
After spending money on concessions, Rushton only has 16 dollars left.

No, Rushton cannot but the hat.

Answer 2

after ticket amount left = (14/45) ( 90) = 28
after concession, amount left = (4/7)(28) = 16
not enough for $18 hat