SAT question ee031767 (Systems of Linear Equations)

Question

A dance teacher ordered outfits for students for a dance recital. Outfits for boys cost $ $26$ , and outfits for girls cost $ $35$ . The dance teacher ordered a total of $28$ outfits and spent $ $881$ . If $b$ represents the number of outfits the dance teacher ordered for boys and $g$ represents the number of outfits the dance teacher ordered for girls, which of the following systems of equations can be solved to find $b$ and $g$ ?

113

Difficulty:Easy

A

$26 b + 35 g = 28$

$b + g = 881$

B

$26 b + 35 g = 881$

$b + g = 28$

C

$26 g + 35 b = 28$

$b + g = 881$

D

$26 g + 35 b = 881$

$b + g = 28$

College Board · Accepted Answer

The correct answer is B. Choice B is correct. Outfits for boys cost $ 26 each and the teacher ordered b outfits for boys, so the teacher spent $ 26b on outfits for boys. Similarly, outfits for girls cost $ 35 each and the teacher ordered g outfits for girls, so the teacher spent $ 35g on outfits for girls. Since the teacher spent a total of $ 881 on outfits for boys and girls, the equation 26b + 35g = 881 must be true. And since the teacher ordered a total of 28 outfits, the equation b + g = 28 must also be true.

CookSAT · Answer

Note: x is the number of boys' outfits and y is the number of girls' outfits.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question ee031767: Systems of Linear Equations answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong