Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. Wha
1 answer:
Answer:
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus
4 parts = 4 × £60 = £240 ← Alvin's share
5 parts = 5 × £60 = £300 ← Simon's share
× £240 = £120
× £300 = £30
Theo receives £120 + £30 = £150 , which as a fraction is
( divide numerator/ denominator by 30 )
= ← in simplest form
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