language development
a bag contains the following marbles:

complete each statement.
complete the ratio statement: for every 1 red marble, there are
yellow marbles.
a ratio that compares the yellow marbles to the green marbles is
to
.
3 : 4 is the ratio of red marbles to
marbles.
complete the ratio statement: for every 1 blue marble, there are 2
marbles.
$\frac{3}{2}$ represents the
of red marbles to blue marbles.
4 to 15 is the ratio of green marbles to the
number of marbles.
in the ratio of yellow marbles to blue marbles, 6 : 2, the quantities 6 and 2 are called
.
a
compares one
to another
.

Question

language development
a bag contains the following marbles:

complete each statement.
complete the ratio statement: for every 1 red marble, there are
 yellow marbles.
a ratio that compares the yellow marbles to the green marbles is
 to
.
3 : 4 is the ratio of red marbles to
 marbles.
complete the ratio statement: for every 1 blue marble, there are 2
 marbles.
$\frac{3}{2}$ represents the
 of red marbles to blue marbles.
4 to 15 is the ratio of green marbles to the
 number of marbles.
in the ratio of yellow marbles to blue marbles, 6 : 2, the quantities 6 and 2 are called
.
a
 compares one
 to another
.

Accepted Answer

### 1. For every 1 red marble, there are __ yellow marbles.
# Explanation:
## Step1: Find number of red and yellow marbles.
Red marbles: $ 3 $, Yellow marbles: $ 6 $.
## Step2: Calculate ratio of yellow to 1 red.
Divide yellow marbles by red marbles: $ \frac{6}{3} = 2 $.
# Answer: 2

### 2. Yellow to green marbles ratio is __ to __.
# Explanation:
## Step1: Identify counts.
Yellow: $ 6 $, Green: $ 4 $.
## Step2: Form the ratio.
Ratio of yellow to green is $ 6:4 $ (simplify if needed, but original counts give $ 6 $ to $ 4 $).
# Answer: 6 to 4

### 3. $ 3:4 $ is red to __ marbles.
# Explanation:
## Step1: Check red count.
Red marbles: $ 3 $. The ratio is $ 3:4 $, so the second quantity is $ 4 $, which matches green marbles ($ 4 $).
## Step2: Confirm.
Red ($ 3 $) to green ($ 4 $) gives $ 3:4 $.
# Answer: green

### 4. For every 1 blue marble, there are 2 __ marbles.
# Explanation:
## Step1: Blue marbles count.
Blue marbles: $ 2 $. For 1 blue, $ 2 \times 1 = 2 $ blue? No. Wait, yellow marbles: $ 6 $, blue: $ 2 $. $ 6 \div 2 = 3 $? No. Wait, red: $ 3 $, blue: $ 2 $. No. Wait, yellow: $ 6 $, blue: $ 2 $. $ 6/2 = 3 $? No. Wait, the ratio: blue is $ 2 $, so 1 blue corresponds to $ 6/2 = 3 $? No, the problem says "2 __". Wait, blue marbles: $ 2 $, red marbles: $ 3 $? No. Wait, yellow marbles: $ 6 $, blue: $ 2 $. $ 6 = 2 \times 3 $? No. Wait, red marbles: $ 3 $, blue: $ 2 $. No. Wait, green marbles: $ 4 $, blue: $ 2 $. $ 4 = 2 \times 2 $. Ah! Green marbles: $ 4 $, blue: $ 2 $. So for 1 blue, $ 4/2 = 2 $ green marbles.
## Step2: Confirm.
Blue: $ 2 $, green: $ 4 $. $ 4 \div 2 = 2 $. So for 1 blue, 2 green.
# Answer: green

### 5. $ \frac{3}{2} $ is the __ of red to blue marbles.
# Explanation:
## Step1: Recall ratio terms.
$ \frac{3}{2} $ is a fraction representing the ratio (or rate) of red ($ 3 $) to blue ($ 2 $). It’s the **ratio** (or "fractional ratio", but term is "ratio" or "rate").
## Step2: Confirm.
Red: $ 3 $, blue: $ 2 $, so $ \frac{3}{2} $ is the ratio.
# Answer: ratio

### 6. 4 to 15 is green to __ number of marbles.
# Explanation:
## Step1: Calculate total marbles.
Red: $ 3 $, blue: $ 2 $, yellow: $ 6 $, green: $ 4 $. Total: $ 3 + 2 + 6 + 4 = 15 $.
## Step2: Confirm.
Green ($ 4 $) to total ($ 15 $) gives $ 4:15 $.
# Answer: total

### 7. In $ 6:2 $ (yellow to blue), 6 and 2 are called __.
# Explanation:
## Step1: Recall ratio terms.
In a ratio $ a:b $, $ a $ and $ b $ are called **terms** (or "ratio terms").
## Step2: Confirm.
In $ 6:2 $, 6 and 2 are the terms of the ratio.
# Answer: terms

### 8. A __ compares one __ to another __.
# Explanation:
## Step1: Recall ratio definition.
A **ratio** compares one **quantity** (or "amount") to another **quantity** (or "amount").
## Step2: Fill in.
A ratio compares one quantity to another quantity.
# Answer: ratio; quantity; quantity

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QUESTION IMAGE

Question

Explanation:

1. For every 1 red marble, there are __ yellow marbles.

Step1: Find number of red and yellow marbles.

Step2: Calculate ratio of yellow to 1 red.

Step1: Identify counts.

Step2: Form the ratio.

Step1: Check red count.

Step2: Confirm.

Answer:

2. Yellow to green marbles ratio is to .