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Math·Algebra·Systems of two linear equations in two variables

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In 2010, a skating team had a total of $34$ skaters, each classified as either advanced or intermediate. From 2010 to 2020, the number of advanced skaters on the team increased by approximately $67\%$, and the number of intermediate skaters on the team increased by approximately $44\%$. The total number of skaters on the team increased by approximately $56\%$. Which equation best represents this situation, where $a$ represents the number of advanced skaters on the team in 2010 and $b$ represents the number of intermediate skaters on the team in 2010?

A

$1.44a+1.67b=34(1.56)$

B

$1.67a+1.44b=34(1.56)$

C

$1.56a+0.67b=34(1.44)$

D

$1.67a+1.56b=34(1.44)$