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 = [tex]\frac{40}{100}*75 = \frac{3000}{100} =[/tex]£ 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 = £ [tex]\frac{33}{2}[/tex] = £ 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
