Question

ASAP

Answer 1

Answer:

a) $\left \{ {{8x+218=y} \atop {5x+521=y}} \right.$,   b) $101

Step-by-step explanation:

Hermes: 8 envelopes, $218

Apollo: 5 envelopes, $521

If x is the amount in each envelope, H is the amount Hemes has and A is the amount Apollo has, this would be a possible system of equations.

$\left \{ {{8x + 218 = H} \atop {5x +521 = A}} \right.$

If Apollo and Hermes both had the same amount of total money, A and H could equal y

$\left \{ {{8x+218=y} \atop {5x+521=y}} \right.$

We want to find the amount in each envelope (x), so we can substitute y in the first equation for y in the second equation:

$8x+218=5x+521$

Subtract $5x$ from both sides

$3x+218=521$

Subtract 218 from both sides

$3x=303$

Divide both sides by 3

$x=101$

So there would have to be $101 in both envelopes for Apollo and Hermes to have the same amount of total money.