Adam and his dad share the cost of the meal in the ratio of 2:3.
2 answers:
52.20 ÷ 3 = 17.4 = 1 (in terms of ratio)
17.4 x 2 = 34.8
52.20 + 34.80 = £87
52.20÷3= 17.40×5=87. The meal cost £87
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![\ \ \dfrac{3}{4}-x\bigg(\dfrac{1}{2}-\dfrac{5}{8}\bigg)+\bigg(-\dfrac{3}{8}x\bigg)\\\\\\=\dfrac{3}{4}\bigg(\dfrac{2}{2}\bigg)-x\bigg[\dfrac{1}{2}\bigg(\dfrac{4}{4}\bigg)-\dfrac{5}{8}\bigg]+\bigg(-\dfrac{3}{8}x\bigg)\\\\\\=\dfrac{6}{8}-x\bigg(\dfrac{4}{8}-\dfrac{5}{8}\bigg)-\dfrac{3}{8}x\\\\\\=\dfrac{6}{8}-x\bigg(-\dfrac{1}{8}\bigg)-\dfrac{3}{8}x\\\\\\=\dfrac{6}{8}+\dfrac{1}{8}x-\dfrac{3}{8}x\\\\\\=\dfrac{6}{8}-\dfrac{2}{8}x\\\\\\=\dfrac{3}{4}-\dfrac{1}{4}x\quad \text{(reduced both fractions)}](https://tex.z-dn.net/?f=%5C%20%5C%20%5Cdfrac%7B3%7D%7B4%7D-x%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B5%7D%7B8%7D%5Cbigg%29%2B%5Cbigg%28-%5Cdfrac%7B3%7D%7B8%7Dx%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Cbigg%28%5Cdfrac%7B2%7D%7B2%7D%5Cbigg%29-x%5Cbigg%5B%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%28%5Cdfrac%7B4%7D%7B4%7D%5Cbigg%29-%5Cdfrac%7B5%7D%7B8%7D%5Cbigg%5D%2B%5Cbigg%28-%5Cdfrac%7B3%7D%7B8%7Dx%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D-x%5Cbigg%28%5Cdfrac%7B4%7D%7B8%7D-%5Cdfrac%7B5%7D%7B8%7D%5Cbigg%29-%5Cdfrac%7B3%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D-x%5Cbigg%28-%5Cdfrac%7B1%7D%7B8%7D%5Cbigg%29-%5Cdfrac%7B3%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D%2B%5Cdfrac%7B1%7D%7B8%7Dx-%5Cdfrac%7B3%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6%7D%7B8%7D-%5Cdfrac%7B2%7D%7B8%7Dx%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Dx%5Cquad%20%5Ctext%7B%28reduced%20both%20fractions%29%7D)
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