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Melissa is 13 years old. Becky is 12 years old. Daniel is 10 years old. Melissa, Becky and Daniel share £42 in the ratio of their ages. Becky decided to save a third of her share. How much will Becky have to spend?

Answer :

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 .