Math  /  Numbers & Operations

Questionike, Pedro, and Harry picked 10, 6, and 3 bushels of peaches, respectively. Find the following ratios of the quantities picked. Expres
13. Pedro to Harry
14. Ike to Pedro
15. Ike to Harry
16. Harry to Pedro
17. Pedro to Ike and Harry
18. Ike to Pedro and Harry

Studdy Solution

STEP 1

1. Ike picked 10 bushels of peaches.
2. Pedro picked 6 bushels of peaches.
3. Harry picked 3 bushels of peaches.
4. We are to find various ratios of the quantities picked by Ike, Pedro, and Harry.

STEP 2

1. Calculate the ratio of Pedro to Harry.
2. Calculate the ratio of Ike to Pedro.
3. Calculate the ratio of Ike to Harry.
4. Calculate the ratio of Harry to Pedro.
5. Calculate the ratio of Pedro to the sum of Ike and Harry.
6. Calculate the ratio of Ike to the sum of Pedro and Harry.

STEP 3

Calculate the ratio of Pedro to Harry.
Ratio of Pedro to Harry=Peaches picked by PedroPeaches picked by Harry=63=2:1\text{Ratio of Pedro to Harry} = \frac{\text{Peaches picked by Pedro}}{\text{Peaches picked by Harry}} = \frac{6}{3} = 2:1

STEP 4

Calculate the ratio of Ike to Pedro.
Ratio of Ike to Pedro=Peaches picked by IkePeaches picked by Pedro=106=53\text{Ratio of Ike to Pedro} = \frac{\text{Peaches picked by Ike}}{\text{Peaches picked by Pedro}} = \frac{10}{6} = \frac{5}{3}

STEP 5

Calculate the ratio of Ike to Harry.
Ratio of Ike to Harry=Peaches picked by IkePeaches picked by Harry=103\text{Ratio of Ike to Harry} = \frac{\text{Peaches picked by Ike}}{\text{Peaches picked by Harry}} = \frac{10}{3}

STEP 6

Calculate the ratio of Harry to Pedro.
Ratio of Harry to Pedro=Peaches picked by HarryPeaches picked by Pedro=36=12\text{Ratio of Harry to Pedro} = \frac{\text{Peaches picked by Harry}}{\text{Peaches picked by Pedro}} = \frac{3}{6} = \frac{1}{2}

STEP 7

Calculate the ratio of Pedro to the sum of Ike and Harry.
Ratio of Pedro to Ike and Harry=Peaches picked by PedroPeaches picked by Ike and Harry=610+3=613\text{Ratio of Pedro to Ike and Harry} = \frac{\text{Peaches picked by Pedro}}{\text{Peaches picked by Ike and Harry}} = \frac{6}{10 + 3} = \frac{6}{13}

STEP 8

Calculate the ratio of Ike to the sum of Pedro and Harry.
Ratio of Ike to Pedro and Harry=Peaches picked by IkePeaches picked by Pedro and Harry=106+3=109\text{Ratio of Ike to Pedro and Harry} = \frac{\text{Peaches picked by Ike}}{\text{Peaches picked by Pedro and Harry}} = \frac{10}{6 + 3} = \frac{10}{9}
The calculated ratios are:
1. Pedro to Harry: 2:12:1
2. Ike to Pedro: 53\frac{5}{3}
3. Ike to Harry: 103\frac{10}{3}
4. Harry to Pedro: 12\frac{1}{2}
5. Pedro to Ike and Harry: 613\frac{6}{13}
6. Ike to Pedro and Harry: 109\frac{10}{9}

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