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Math·Algebra·Linear inequalities in one or two variables

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A soccer team needs new equipment. The team will buy soccer balls for $\$19.50$ each and shin guards for $\$10.25$ per pair. The soccer team cannot spend more than $\$550$ on this equipment. Every player needs a pair of shin guards, so the team will buy at least $12$ pairs. Under these conditions, which system of inequalities gives the possible number of soccer balls, $x$, and possible number of pairs of shin guards, $y$, the team can buy?

A

$10.25x+19.50y\ge 550$; $x\ge 12$

B

$10.25x+19.50y\le 550$; $x\ge 12$

C

$19.50x+10.25y\ge 550$; $y\ge 12$

D

$19.50x+10.25y\le 550$; $y\ge 12$