Decrease 72 in a ratio of $$ 7: 18 $$.

Question

UpStudy AI · Accepted Answer

To **decrease 72 in the ratio of $$7:18$$**, we interpret this as dividing the number **72** into two parts that maintain the given ratio. Here's how you can do it step-by-step:

### Step 1: Understand the Ratio
The ratio $$7:18$$ means that for every **7 parts** of the first quantity, there are **18 parts** of the second quantity.

### Step 2: Calculate the Total Number of Parts
$$
\text{Total parts} = 7 + 18 = 25
$$

### Step 3: Determine the Value of One Part
$$
\text{Value of one part} = \frac{72}{25} = 2.88
$$

### Step 4: Find Each Part
- **First Part (7 parts):**
  $$
  7 \times 2.88 = 20.16
  $$
  
- **Second Part (18 parts):**
  $$
  18 \times 2.88 = 51.84
  $$

### Final Answer
When you decrease **72** in the ratio of **$$7:18$$**, the two resulting parts are:

- **20.16**
- **51.84**

These values maintain the specified ratio and sum up to **72**.
To decrease 72 in the ratio of $$7:18$$, divide 72 into two parts: 20.16 and 51.84.

Decrease 72 in a ratio of \( 7: 18 \).

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