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Alex_Xolod [135]
3 years ago
7

A survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. The

results of the survey are shown in the table. Which statement must be true?
A. Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
B. Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
C. Out of the 125 children who do not have any siblings, 34 of them have a pet.
D. Out of the 97 children who have 1 sibling, 40 of them do not have a pet.

Mathematics
2 answers:
bonufazy [111]3 years ago
8 0
<span>D. Out of the 97 children who have 1 sibling, 40 of them do not have a pet</span>
Karo-lina-s [1.5K]3 years ago
3 0

Let's fill the table:

1. 34+18=52;

2. 97-57=40;

3. 34+57+x+6=125,

x=125-97,

x=28;

4. 28+15=43;

5. 6+2=8;

6. 18+40+15+2=75.

Then the table is:

\begin{array}{cccccc}    & \text{0 Siblings} & \text{1 Siblings} & \text{2 Siblings} & \text{3 or more Siblings} & \text{Total} \\   \text{Has a pet} & 34 & 57 & 28 & 6 & 125 \\   \text{Does not have a pet} & 18 & 40 & 15 & 2 & 75 \\   \text{Total} & 52 & 97 & 43 & 8 & 200  \end{array}

Let's see the options:

A. Out of the 125 children who do not have a pet, 18 of them have 2 siblings.

This option is false, because 125 children have a pet, not as in statement.

B. Out of the 97 children who have 1 pet, 40 of them do not have any siblings.

This option is false, because 97 children have 1 Sibling, not 1 pet.

C. Out of the 125 children who do not have any siblings, 34 of them have a pet.

This option is false, because 125 children have a pet, not do not have siblings.

D. Out of the 97 children who have 1 sibling, 40 of them do not have a pet.

This option is true, you can see from the table that among 97 children that have 1 Sibling, exactly 40 do not have a pet.

Answer: correct choice is D.

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