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Answer: Becky will have to spend £ 9.6 .
Step-by-step explanation:
The ratio of their ages will be:
Melissa : Becky : Daniel = 13 : 12 : 10
Total amount share = £42
Share of Becky = [tex]\dfrac{12}{12+13+10}\times42[/tex]
[tex]=\dfrac{12}{35}\times42\\\\= 14.4[/tex]
Hence, Becky's share = £14.4
Becky decided to save a third of her share.
Then, Amount she spend = [tex]14.4-\dfrac13 \times 14.4[/tex]
[tex]=14.4-4.8\\=9.6[/tex]
hence, Becky will have to spend £ 9.6 .