Answer:
Terry has 1500 sweets.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of sweets Terry has.
y is the number of sweets Alex has.
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.
This means that:
[tex](1 - 0.3)x = y + 0.3x[/tex]
[tex]0.7x = y + 0.3x[/tex]
[tex]y = 0.4x[/tex]
If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.
This means that:
[tex]y + 750 = 1.8(x-750)[/tex]
We want to find x, and since [tex]y = 0.4x[/tex]
[tex]y + 750 = 1.8x - 1350[/tex]
[tex]0.4x + 750 = 1.8x - 1350[/tex]
[tex]1.4x = 2100[/tex]
[tex]x = \frac{2100}{1.4}[/tex]
[tex]x = 1500[/tex]
Terry has 1500 sweets.
