Answer:
Bud have eaten 2 pieces as Bud and Dotti have eaten exact same amount.
Step-by-step explanation:
We have been given Dotti and Bud bought two identical watermelons
Dotti cut her watermelon into 3 pieces and ate 2 of the pieces.
Bud cut watermelon into 9 pieces
But Dotti and Bud have eaten exact same amount of watermelon
That means if Dotti have eaten 2 pieces then Bud would also have eaten 2 pieces out of 9.
Answer:
Bus must have eaten 6 pieces of his watermelon.
Step-by-step explanation:
We have been given that Dotti and Bud bought two identical watermelons. Dotti cut her watermelon into 3 pieces and ate 2 of the pieces. This means Dotti has eaten 2/3 of his watermelon.
Bud cut his watermelon into 9 pieces, but ate the exact same amount of watermelon as Dotti.
We will use proportions to solve our given problem as proportions states that two fractions are equivalent.
[tex]\frac{\text{Pieces of watermelon eaten by Bud}}{\text{Total pieces of Bud's watermelon}}=\frac{\text{Pieces of watermelon eaten by Dotti}}{\text{Total pieces of Dotti's watermelon}}[/tex]
Upon substituting our given values in above proportion we will get,
[tex]\frac{\text{Pieces of watermelon eaten by Bud}}{9}=\frac{2}{3}[/tex]
Let us multiply both sides of our equation by 9.
[tex]\frac{\text{Pieces of watermelon eaten by Bud}}{9}*9=\frac{2}{3}*9[/tex]
[tex]\text{Pieces of watermelon eaten by Bud}=2*3[/tex]
[tex]\text{Pieces of watermelon eaten by Bud}=6[/tex]
Therefore, Bud must have eaten 6 pieces of his watermelon.
Let us cross check our answer by substituting 6 in our proportion as:
[tex]\frac{6}{9}=\frac{2}{3}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
Hence, proved.
