The ratio of moses's sheep to goats is \( 4: 3 \). He He sold \( 3 / 4 \) of his sheep.If he sold 15 sheep, calculate the tall number of goats

To solve this, we start by noting that if 15 sheep represent \( \frac{3}{4} \) of the total sheep Moses had, we can find the total number of sheep first. By setting up the equation: \[ \frac{3}{4} \text{ of total sheep} = 15 \] We can express it as: \[ \text{Total sheep} = 15 \times \frac{4}{3} = 20 \] Now, since the ratio of sheep to goats is \( 4:3 \), let’s denote the number of goats as \( g \). According to the ratio, we have: \[ \frac{20}{g} = \frac{4}{3} \] Cross-multiplying gives: \[ 4g = 60 \] Solving for \( g \): \[ g = 15 \] Thus, Moses has a total of 15 goats.