3. Rick, Xavier and Yew Ming bought a present together. Rick paid \( \$ 24 \) more than Yew Ming. Xavier paid twice the arnount Rick paid. If the Cost of the present was \( \$ 104 \), how much did Yew Ming pay for his share?
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The Deep Dive
To find out how much Yew Ming paid, let's break it down step by step. Let Yew Ming's payment be \( y \). Then, Rick's payment would be \( y + 24 \) (since he paid \$24 more than Yew Ming), and Xavier's payment would be \( 2(y + 24) \) (paying twice what Rick did). Now, we know that the total cost of the present is \$104. So, we can set up the following equation: \[ y + (y + 24) + 2(y + 24) = 104 \] Now simplify the equation: \[ y + y + 24 + 2y + 48 = 104 \] \[ 4y + 72 = 104 \] Subtract 72 from both sides: \[ 4y = 32 \] Now divide by 4: \[ y = 8 \] So, Yew Ming paid \$8 for his share!
