23 rd January 2025 Week: 3 Homewerk. 1 1.) Mr. Mensah redrew an amounc of money from the bank. He gave \( 1 / 3 \) of it to the son and gave 15 to the daughter. If he sill had GH \( \$ 200 \) left, how much did he redreio from the bank? And how much did the daughter recenve? Solution

To find out how much Mr. Mensah withdrew from the bank, let's denote the total amount he withdrew as \( x \). According to the problem, he gave \( \frac{1}{3} \) of \( x \) to his son and \( 15 \) GH₵ to his daughter. After these distributions, he had \$200 GH₵ left. We can set up the equation: \[ \frac{1}{3}x + 15 + 200 = x \] Simplifying this gives: \[ \frac{1}{3}x + 215 = x \] To eliminate \( x \) from one side, subtract \( \frac{1}{3}x \) from both sides: \[ 215 = x - \frac{1}{3}x \] This simplifies to: \[ 215 = \frac{2}{3}x \] To solve for \( x \), multiply both sides by \( \frac{3}{2} \): \[ x = 215 \times \frac{3}{2} = 322.5 \] So, Mr. Mensah withdrew GH₵ 322.50 from the bank. Now, to find out how much his daughter received, we already know that he gave her \( 15 \) GH₵. Thus, the answer is: **Mr. Mensah withdrew GH₵ 322.50 from the bank, and his daughter received GH₵ 15.**