Vat is at 19%. jeremy buys a calculator for ? 58.31. what is the amount of vat paid

€9.31

Step-by-step explanation:

The relationship of tax to price is ...

... tax : price = 0.19 : 1

Then the relationship of tax to total cost is ...

... tax : (tax + price) = 0.19 : (0.19 +1) = 0.19 : 1.19 = 19 : 119

So, the tax is 19/119 times the total cost. In this problem, ...

... VAT = 19/119 × €58.31

... VAT = €9.31

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.