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alexira [117]
3 years ago
14

4

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

Total money Betsy spent on T-shirt = £ 16.5

Total money Betsy spent on Bag = £ 28.5

Step-by-step explanation:

As given, Total money Betsy have = £ 75

Given that Betsy saved 40% of £ 75

⇒Betsy saved = \frac{40}{100}*75 = \frac{3000}{100} =£ 30

So, total money spent on T-shirt and bag = £ 75 - £ 30 = £ 45

Let Betsy spent money on T-shirt = x

     Betsy spent money on Bag = y

⇒ x + y = £ 45   ........(1)

As given, She spent £12 more on the bag than she spent on the T-shirt.

⇒ y = £ 12 + x

Put the value of y in equation (1), we get

x + £ 12 + x = £ 45

⇒ 2x + £ 12= £ 45

⇒ 2x = £ 45 - £ 12

⇒ 2x = £ 33

⇒ x = £ \frac{33}{2} = £ 16.5

⇒ x = £ 16.5

⇒ y = £ 12 + £ 16.5 = £ 28.5

∴ we get

Total money Betsy spent on T-shirt = x = £ 16.5

Total money Betsy spent on Bag = y = £ 28.5

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