On a certain day a cell phone store sold iphones, Samsungs and Huaweis in the ratio \( 2: 3 \) : 5 . If they sold 15 Huaweis, how many cellphones did they sell altogethe

1. Let the constants in the ratio be represented by \( k \). Then, the number of each type of cellphone sold is: \[ \text{iPhones} = 2k,\quad \text{Samsungs} = 3k,\quad \text{Huaweis} = 5k. \] 2. Since 15 Huaweis were sold, we set up the equation: \[ 5k = 15. \] 3. Solving for \( k \): \[ k = \frac{15}{5} = 3. \] 4. The total number of cellphones sold is: \[ \text{Total} = 2k + 3k + 5k = 10k. \] 5. Substitute \( k = 3 \) into the equation: \[ \text{Total} = 10 \times 3 = 30. \] Thus, the store sold a total of \( 30 \) cellphones.