Question

If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?

Answer 1

Terry has 1500 sweets.

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:

`(1 - 0.3)x = y + 0.3x`

`0.7x = y + 0.3x`

`y = 0.4x`

If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.

This means that:

`y + 750 = 1.8(x-750)`

We want to find x, and since
`y = 0.4x`

`y + 750 = 1.8x - 1350`

`0.4x + 750 = 1.8x - 1350`

`1.4x = 2100`

`x = (2100)/(1.4)`

`x = 1500`

Terry has 1500 sweets.