Question

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

Ask by Hill Gordon. in South Africa
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

To divide 72 in the ratio \( 7:18 \), split it into 7 parts and 18 parts. Each part is \( 2.88 \). So, the two parts are 20.16 and 51.84.

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The Deep Dive

To decrease 72 in a ratio of \( 7: 18 \), you'll first want to find the total parts of the ratio, which is \( 7 + 18 = 25 \). Now, we can calculate how much to decrease. Each part in the ratio represents a fraction of 72: \[ \text{Part Value} = \frac{72}{25} = 2.88 \] Next, multiply the part that corresponds to the decrease (7 parts) by the value of each part: \[ \text{Decrease} = 7 \times 2.88 = 20.16 \] Finally, subtract this decrease from 72: \[ 72 - 20.16 = 51.84 \] So, decreasing 72 in a ratio of \( 7: 18 \) gives you approximately \( 51.84 \).

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