Answer:
Fatima will receive 7/25 of the bill back in change.
Step-by-step explanation:
To find out how much change Fatima will receive, we first need to calculate the total cost of her purchases:
Total cost = Cost of the dress + Cost of the scarf
Total cost = 275 dirhams + 85 dirhams
Total cost = 360 dirhams
Now, to find out how much change she will receive, we subtract the total cost from the amount she paid with:
Change = Amount paid - Total cost
Change = 500 dirhams - 360 dirhams
Change = 140 dirhams
So, Fatima will receive 140 dirhams in change.
To express this change as a fraction of the bill she paid, we divide the change by the bill amount:
Fraction of the bill received back in change = Change / Amount paid
Fraction of the bill received back in change = 140 dirhams / 500 dirhams
Now, let's simplify this fraction:
Fraction of the bill received back in change = 14/50
To further simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
Fraction of the bill received back in change = 7/25
So, Fatima will receive 7/25 of the bill back in change.
