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Miss Loma Babol conducted a survey on the availability of students' gadgets dinternet connections to her Mathematics Class in preparation for their Mathematics ivity at home. She found out 18 of them have gadgets with internet connection, 12 e gadgets but with no internet connection and 10 of them do not have gadget nor met connection. i the ratio of the following. 1. ratio of students with gadgets with internet connection to the total number of students 2. ratio of students with no gadgets and with no internet connection to the total number of students 3. ratio of students with gadgets to the total number of students ratio of students with intermet connection to students with no internet connection

Ask by Pena Turner. in the Philippines
Feb 04,2025

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**Ratios:** 1. **Students with gadgets and internet : Total students =** 9 : 20 2. **Students with no gadgets and no internet : Total students =** 1 : 4 3. **Students with gadgets : Total students =** 3 : 4 4. **Students with internet : Students without internet =** 9 : 11

Solución

Let's analyze the survey conducted by Miss Loma Babol step by step to determine the required ratios. ### **Given Data:** - **Students with gadgets and internet connection:** 18 - **Students with gadgets but no internet connection:** 12 - **Students with neither gadgets nor internet connection:** 10 ### **Total Number of Students:** \[ \text{Total} = 18 \ (\text{with gadgets and internet}) + 12 \ (\text{with gadgets only}) + 10 \ (\text{neither}) = 40 \] ### **1. Ratio of Students with Gadgets and Internet Connection to Total Students** \[ \frac{\text{Students with gadgets and internet}}{\text{Total students}} = \frac{18}{40} \] **Simplified Ratio:** \[ \frac{18}{40} = \frac{9}{20} \quad \text{or} \quad 9:20 \] ### **2. Ratio of Students with No Gadgets and No Internet Connection to Total Students** \[ \frac{\text{Students with no gadgets and no internet}}{\text{Total students}} = \frac{10}{40} \] **Simplified Ratio:** \[ \frac{10}{40} = \frac{1}{4} \quad \text{or} \quad 1:4 \] ### **3. Ratio of Students with Gadgets to Total Students** \[ \text{Students with gadgets} = \text{Students with gadgets and internet} + \text{Students with gadgets only} = 18 + 12 = 30 \] \[ \frac{\text{Students with gadgets}}{\text{Total students}} = \frac{30}{40} \] **Simplified Ratio:** \[ \frac{30}{40} = \frac{3}{4} \quad \text{or} \quad 3:4 \] ### **4. Ratio of Students with Internet Connection to Students with No Internet Connection** \[ \text{Students with internet connection} = 18 \quad (\text{since only those with gadgets have internet}) \] \[ \text{Students with no internet connection} = \text{Students with gadgets only} + \text{Students with neither} = 12 + 10 = 22 \] \[ \frac{\text{Students with internet}}{\text{Students without internet}} = \frac{18}{22} \] **Simplified Ratio:** \[ \frac{18}{22} = \frac{9}{11} \quad \text{or} \quad 9:11 \] ### **Summary of Ratios:** 1. **Students with gadgets and internet : Total students =** 9 : 20 2. **Students with no gadgets and no internet : Total students =** 1 : 4 3. **Students with gadgets : Total students =** 3 : 4 4. **Students with internet : Students without internet =** 9 : 11

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The Deep Dive

Let's calculate the total number of students first. According to Miss Loma Babol's survey: - Students with gadgets and internet: 18 - Students with gadgets but no internet: 12 - Students with no gadgets and no internet: 10 Total number of students = 18 + 12 + 10 = 40. 1. **Ratio of students with gadgets with internet connection to the total number of students**: This is 18 (students with gadgets and internet) to 40 (total students), which simplifies to 18:40 or 9:20 when reduced. 2. **Ratio of students with no gadgets and no internet connection to the total number of students**: This is 10 (students with no gadgets and no internet) to 40 (total students), so it's 10:40, which simplifies to 1:4. 3. **Ratio of students with gadgets to the total number of students**: Total students with gadgets = 18 (with internet) + 12 (without internet) = 30. Thus, the ratio is 30:40, which simplifies to 3:4. 4. **Ratio of students with internet connection to students with no internet connection**: Students with internet connection = 18; students with no internet connection = 12. Therefore, the ratio is 18:12, which simplifies to 3:2.

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