Jordan organized 7 boxes with shampoo bottles and soap bars. Each box had 5 shampoo bottles and b soap bars. He used a total of 56 shower items.

Question

Choose the tape diagram that represents the situation.

56
b+5
7
7
7
7
7
7

56
b+5
b+5
b+5
b+5
b+5
b+5
b+5

56
7
b
b
b
b
b
b
Great job!
What does the unknown value, b, represent in this problem?
56
b+5
b+5
b+5
b+5
b+5
b+5
b+5

The number of soap bars in each box

The number of shampoo bottles in each box

The total number of soap bars Jordan has

The total number of shower items Jordan has
Nice!
Solve for the value of of b.
56
b+5
b+5
b+5
b+5
b+5
b+5
b+5
b=

Answer 1

Let's break down the situation to solve for the value of \( b \).

We know that:

• Jordan organized 7 boxes.
• Each box contained 5 shampoo bottles and \( b \) soap bars.
• The total number of shower items (shampoo bottles and soap bars) is 56.

Now, we can express the total number of items in terms of \( b \):

1. Each box has \( 5 \) shampoo bottles.
2. Each box has \( b \) soap bars.
3. Therefore, the total number of items in one box is \( 5 + b \).
4. Since there are 7 boxes, the total number of items is: \[ 7 \times (5 + b) = 56 \]

Now we can set up the equation: \[ 7(5 + b) = 56 \]

Next, we can solve for \( b \):

1. Distribute the 7: \[ 35 + 7b = 56 \]
2. Subtract \( 35 \) from both sides: \[ 7b = 56 - 35 \] \[ 7b = 21 \]
3. Divide both sides by \( 7 \): \[ b = \frac{21}{7} = 3 \]

So, the value of \( b \) is \( 3 \).

Summary:

• The unknown value \( b \) represents the number of soap bars in each box.
• The value of \( b \) is \( 3 \).