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

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:

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

$0.7x = y + 0.3x$

$y = 0.4x$

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 $y = 0.4x$

$y + 750 = 1.8x - 1350$

$0.4x + 750 = 1.8x - 1350$

$1.4x = 2100$

$x = \frac{2100}{1.4}$

$x = 1500$

Terry has 1500 sweets.