Questions: 10. Mr. Strait has 10 chickens on his ranch. He has 3 times as many cows as chickens. This diagram can be used to represent the relationship between the number of chickens and the number of cows on the ranch. Number of chickens 10 Number of Cows 10 10 10 Which number sentence can be used to find z, the total number of chickens and cows on the ranch? A. z=10 x 3 x 10 B. z=3 x 10 C. z=3+10+10+10 D. z=10+10+10+10 11. Which equation shows the best estimate of the total number of oatmeal cookies and sugar cookies the bakery sold last week? Cookies Sold Kind of Cookie Number Sold Oatmeal 298 Chocolate chip 406 Sugar 345 A. 300+400+300=c B. 300+300=c C. 400+300=c D. 300+400=c

10. Mr. Strait has 10 chickens on his ranch. He has 3 times as many cows as chickens. This diagram can be used to represent the relationship between the number of chickens and the number of cows on the ranch. Number of chickens 10 Number of Cows 10 10 10 Which number sentence can be used to find z, the total number of chickens and cows on the ranch? A. z=10 x 3 x 10 B. z=3 x 10 C. z=3+10+10+10 D. z=10+10+10+10 11. Which equation shows the best estimate of the total number of oatmeal cookies and sugar cookies the bakery sold last week? Cookies Sold Kind of Cookie Number Sold Oatmeal 298 Chocolate chip 406 Sugar 345 A. 300+400+300=c B. 300+300=c C. 400+300=c D. 300+400=c
Transcript text: 10. Mr. Strait has 10 chickens on his ranch. He has 3 times as many cows as chickens. This diagram can be used to represent the relationship between the number of chickens and the number of cows on the ranch. Number of chickens 10 Number of Cows $\square$ 10 10 10 Which number sentence can be used to find $z$, the total number of chickens and cows on the ranch? A. $z=10 \times 3 \times 10$ B. $z=3 \times 10$ C. $z=3+10+10+10$ D. $z=10+10+10+10$ 11. Which equation shows the best estimate of the total number of oatmeal cookies and sugar cookies the bakery sold last week? Cookies Sold \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Kind of \\ Cookie \end{tabular} & \begin{tabular}{c} Number \\ Sold \end{tabular} \\ \hline Oatmeal & 298 \\ \hline Chocolate chip & 406 \\ \hline Sugar & 345 \\ \hline \end{tabular} A. $300+400+300=c$ B. $300+300=c$ C. $400+300=c$ D. $300+400=c$
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Solution

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Solution Steps

Step 1: Analyze the relationship between chickens and cows

Mr. Strait has 10 chickens on his ranch. He has 3 times as many cows as chickens. This means the number of cows is: \[ \text{Number of cows} = 3 \times 10 = 30 \]

Step 2: Determine the total number of chickens and cows

The total number of chickens and cows, \( z \), is the sum of the number of chickens and the number of cows: \[ z = \text{Number of chickens} + \text{Number of cows} = 10 + 30 = 40 \]

Step 3: Identify the correct number sentence

The correct number sentence to find \( z \) is: \[ z = 10 + 10 + 10 + 10 \] This corresponds to option D.

Step 4: Estimate the total number of oatmeal and sugar cookies sold

The bakery sold 298 oatmeal cookies and 345 sugar cookies. To estimate the total, round each number to the nearest hundred: \[ 298 \approx 300, \quad 345 \approx 300 \] The estimated total is: \[ 300 + 300 = 600 \] This corresponds to option B.

Final Answer

  • For question 10: \(\boxed{z = 10 + 10 + 10 + 10}\) (Answer is D).
  • For question 11: \(\boxed{300 + 300 = c}\) (Answer is B).
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