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Directions
Drag and drop the correct answer choice to each answer blank.
A gumball machine contains 200 gumballs. A random sample of 25 gumballs was collected from the machine. The results from the random sample are shown.

10 gumballs are red
8 gumballs are blue
5 gumballs are green
2 gumballs are white

Based on the random sample results, complete the prediction statements for the entire machine of 200 gumballs.
Move the answers to the correct boxes.
:1. 3
10
13
24
80
104

There are red gumballs in the machine.
There are more green gumballs than white gumballs in the machine.
There are gumballs that are either blue or green in the machine.

$2$ . Directions $\newline$ Drag and drop the correct answer choice to each answer blank. $\newline$ A gumball machine contains $200$ gumballs. A random sample of $25$ gumballs was collected from the machine. The results from the random sample are shown. $\newline$ - $10$ gumballs are red $\newline$ - $8$ gumballs are blue $\newline$ - $5$ gumballs are green $\newline$ - $2$ gumballs are white $\newline$ Based on the random sample results, complete the prediction statements for the entire machine of $200$ gumballs. $\newline$ Move the answers to the correct boxes. $\newline$ : $1$ . $3$ $\newline$ $10$ $\newline$ $13$ $\newline$ $24$ $\newline$ $80$ $\newline$ $104$ $\newline$ - There are red gumballs in the machine. $\newline$ - There are more green gumballs than white gumballs in the machine. $\newline$ - There are gumballs that are either blue or green in the machine.

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Scale drawings: word problems

Full solution

Q.

2

. Directions

\newline

Drag and drop the correct answer choice to each answer blank.

\newline

A gumball machine contains

200

gumballs. A random sample of

25

gumballs was collected from the machine. The results from the random sample are shown.

\newline

-

10

gumballs are red

\newline

-

8

gumballs are blue

\newline

-

5

gumballs are green

\newline

-

2

gumballs are white

\newline

Based on the random sample results, complete the prediction statements for the entire machine of

200

gumballs.

\newline

Move the answers to the correct boxes.

\newline

:

1

.

3

\newline

10

\newline

13

\newline

24

\newline

80

\newline

104

\newline

- There are red gumballs in the machine.

\newline

- There are more green gumballs than white gumballs in the machine.

\newline

- There are gumballs that are either blue or green in the machine.

Set Up Proportion: To find the number of red gumballs in the machine, set up a proportion using the sample data: $(\frac{10 \text{ red gumballs}}{25 \text{ total gumballs}}) = \frac{x \text{ red gumballs}}{200 \text{ total gumballs}}$ . Solve for $x$ : $x = (\frac{10}{25}) \times 200$ .
Calculate $x$ : Calculate $x$ : $x = (\frac{10}{25}) \times 200 = (\frac{2}{5}) \times 200 = 80$ . There are $80$ red gumballs in the machine.
Number of Red Gumballs: To compare the number of green and white gumballs, use the sample proportions: $(\frac{5 \text{ green gumballs}}{25 \text{ total gumballs}}) > (\frac{2 \text{ white gumballs}}{25 \text{ total gumballs}})$ . Since $\frac{5}{25}$ is greater than $\frac{2}{25}$ , there are more green gumballs than white gumballs in the machine.
Compare Green and White: To find the total number of blue or green gumballs in the machine, add the proportions of blue and green gumballs from the sample and apply it to the total: $((8 \text{ blue gumballs} + 5 \text{ green gumballs}) / 25 \text{ total gumballs}) = ((x \text{ blue or green gumballs}) / 200 \text{ total gumballs})$ . $\newline$ Solve for $x$ : $x = (13/25) * 200$ .
Total Blue or Green Gumballs: Calculate $x$ : $x = (\frac{13}{25}) \times 200 = (\frac{13}{1}) \times 8 = 104$ . There are $104$ gumballs that are either blue or green in the machine.

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\newline

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\newline

\square

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