Answer
a)
$10 \leq x+y$
$x+y\leq20$
$x \geq 2$
$25x+.4y \leq90$
Please see the graph.
b) Answers may vary, but one possible answer is as follows:
$x=3$, $y=12$ mass is 15 grams, cost of gold is 75 dollars, cost of silver is 4.80 (total cost is $79.80)
![](https://gradesaver.s3.amazonaws.com/uploads/solution/722ed0f1-6b84-49be-bf33-db9cb114668e/result_image/1532234581.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20250116%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250116T010513Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=a5ba37e5982f182c9f3e77597905fd8c1b2cdc740b398430491ad82c10cbd7c0)
Work Step by Step
a) x = grams of gold, y = grams of silver
The graph was made using graphing software.
$10 \leq x+y$
$x+y\leq20$
$x \geq 2$
$25x+.4y \leq90$
b) $3+12= 15$ $3*25 + 12*.4 = cost$ $75 + 4.8 = 79.8 = cost$