Total members = 176. Weightlifters : Cardio = 4 : 7.<br><br>
[[model:questions/solutions/q10509.png]]<br><br>
Total units = 4 + 7 = 11 units<br>
&bull; 11 units → 176<br>
&bull; 1 unit → 176 ÷ 11 = 16<br>
&bull; Weightlifters = 4 units = 4 × 16 = 64<br>
&bull; Cardio = 7 units = 7 × 16 = 112<br><br>
Now find protein supplement users in each group:<br>
Weightlifters &mdash; use protein : don't use = 7 : 1, so use protein (WL) = \( \frac{7}{8} \) × 64 = 56<br>
Cardio &mdash; use protein : don't use = 2 : 5, so use protein (cardio) = \( \frac{2}{7} \) × 112 = 32<br><br>
Total protein supplement users = 56 + 32 = 88<br>
Check: Don't use WL = 8, don't use cardio = 80. 56 + 32 + 8 + 80 = 176. ✓<br><br>
Final Answer: 88