At the supermarket, a bottle of shower foam had a mass of 1.4 kg while a bottle
of shampoo had a mass of 1.6 kg Miko bought supplies for half a year and they
had a mass of 10.4 kg. She purchased one more bottle of shower foam than
shampoo. How many bottles of shower foam did she buy?



Let's define variables for the number of bottles of shower foam and shampoo Miko bought:

- Let \( x \) represent the number of bottles of shampoo she bought.
- Since Miko bought **one more bottle of shower foam than shampoo**, the number of bottles of shower foam is \( x + 1 \).

The total mass of the bottles Miko bought is given as 10.4 kg.

The mass of one bottle of shampoo is 1.6 kg, and the mass of one bottle of shower foam is 1.4 kg. The total mass of the bottles can be expressed as:

\[
1.6x \, (\text{mass of all shampoo bottles}) + 1.4(x + 1) \, (\text{mass of all shower foam bottles}) = 10.4 \, \text{kg}
\]

Let's solve this equation:

\[
1.6x + 1.4(x + 1) = 10.4
\]

Expand the terms:

\[
1.6x + 1.4x + 1.4 = 10.4
\]

Combine like terms:

\[
3.0x + 1.4 = 10.4
\]

Subtract 1.4 from both sides:

\[
3.0x = 9.0
\]

Solve for \( x \):

\[
x = 3
\]

So, Miko bought 3 bottles of shampoo. Since she bought one more bottle of shower foam, the number of bottles of shower foam is:

\[
x + 1 = 3 + 1 = 4
\]

Therefore, Miko bought **4 bottles of shower foam**.

---

Would you like further details on the steps? Here are 5 related questions:

1. How many bottles of shampoo did Miko buy?
2. How would the problem change if the mass of shampoo bottles was different?
3. Can you verify the total mass with the number of bottles found?
4. What if Miko bought the same number of shampoo and shower foam bottles—how would that affect the solution?
5. How would you write the equation if the mass of the bottles was expressed in grams instead?

**Tip:** Always double-check your variables and the relationships between them when setting up equations.

At the supermarket, a bottle of shower foam had a mass of 1.4 kg while a bottle of shampoo had a mass of 1.6 kg. Miko bought supplies for half a year and they had a mass of 10.4 kg. She purchased one more bottle of shower foam than shampoo. How many bottles of shower foam did she buy?

Learn how to solve a real-life algebraic problem involving the mass of shampoo and shower foam bottles. Miko bought one more bottle of shower foam than shampoo, and their combined mass is 10.4 kg. This problem uses linear equations and is suitable for students in Grades 6-8.

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