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xz_007 [3.2K]
4 years ago
8

Gavyn and Alex win some money and share it in the ratio 3:2. Gavyn gets £27. How much did they win in total?

Mathematics
2 answers:
user100 [1]4 years ago
8 0

3:2=\dfrac{3}{2}\\\\\£27-Gavyn's\ win\\\£w-Alex's\ win\\\\\text{The  equation}\\\\\dfrac{\£27}{\£w}=\dfrac{3}{2}\qquad\text{cross multiply}\\\\3\£w=(2)(\£27)\\\\3\£w=\£54\qquad\text{divide both sides by 3}\\\\\£w=\£18\\\\Total\ win:\ \boxed{\£27+\£18=\£45}

velikii [3]4 years ago
7 0
27÷3=9
9 is the original number.
9×2=18

the answer is 18.
if you wanted to check your work, 27:18 simplifies down to 3:2.
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