Answer :
June bought 3.375 pounds of bananas.
To solve this problem, we first need to determine the price per pound of bananas that Carrie paid. Carrie bought three pounds of bananas for $1.08. To find the price per pound, we divide the total cost by the number of pounds:
Price per pound for Carrie = Total cost for Carrie / Number of pounds Carrie bought
Price per pound for Carrie = $1.08 / 3 pounds
Price per pound for Carrie = $0.36 per pound
Now that we know Carrie paid $0.36 per pound, and since June paid the same price per pound, we can use the amount June paid to find out how many pounds she bought. June paid $1.80 for her bananas, so we set up the equation:
Price per pound * Number of pounds June bought = Total cost for June
$0.36 * Number of pounds June bought = $1.80
To find the number of pounds June bought, we divide the total cost June paid by the price per pound:
Number of pounds June bought = $1.80 / $0.3636 (assuming the price per pound is $0.3636 to account for potential rounding in Carrie's price)
Number of pounds June bought = 5.006
Since it's not practical to buy a fraction of a pound of bananas in most cases, we can round this to the nearest whole number, which would be 5 pounds. However, if we are to provide the exact value without rounding, June bought approximately 5.006 pounds of bananas. To express this in terms of a fraction, we can write it as:
Number of pounds June bought = 180/36.36
Number of pounds June bought = 5.006
To convert this to a fraction with a whole number denominator, we can multiply both the numerator and the denominator by 100 to get rid of the decimal places:
Number of pounds June bought = (180 * 100) / (36.36 * 100)
Number of pounds June bought = 18000 / 3636
Number of pounds June bought = 5.006
Now, to express 5.006 as a fraction, we can write it as:
Number of pounds June bought = 5 + 0.006
Number of pounds June bought = 5 + 6/1000
Number of pounds June bought = 5 + 3/500
Number of pounds June bought = 5 + 0.006
Number of pounds June bought = 5.006
Since 0.006 is very close to 1/160, we can approximate:
Number of pounds June bought = 5 + 1/160
Number of pounds June bought = 5 + 0.00625
Number of pounds June bought = 5.00625
Multiplying both sides by 160 to clear the fraction, we get:
Number of pounds June bought = (5 * 160) + 1
Number of pounds June bought = 800 + 1
Number of pounds June bought = 801/160
Finally, we can simplify this fraction by dividing both the numerator and the denominator by 2:
Number of pounds June bought = 801/160 / 2
Number of pounds June bought = 400.5/80
Number of pounds June bought = 801/160
Since we cannot simplify this fraction further, we conclude that June bought approximately 801/160 pounds of bananas. However, since we are looking for a practical answer, we can say that June bought approximately 5 pounds of bananas, with the exact fraction being 801/160, which simplifies to 3.375 pounds when rounded to three decimal places.
Answer:
June bought 5 pounds of bananas
Step-by-step explanation:
The per pound price of bananas bought by Carrie is given by:
Total Price/Number of Pounds=$1.08/3=$0.36
Now as Carrie and June had purchased the banana at the same price, So the pounds of banana bought by June is given by:
Amount Paid by June/Price Per pound=$1.80/$0.36=5
So June bought 5 pounds of bananas
