Question

Hasney's Boutiques Clothing is having a $20\%$ off sale during which shirts cost $\$30.00$ and pants cost $\$60.00$. On the day of the sale, Hasney's sells a total of $60$ shirts and pants and earned a total of $\$2,250$. On a regular day, Hasney's sells $\frac{2}{3}$ the number of shirts and pants sold during the sale and earns a total of $\$1,875$. Solving which of the following systems of equations yields the number of shirts, s, and the number of pants, p, sold during a regular day?

• A. $s+p=40,37.5s+75p=1,875$
• B. $s+p=40,30s+60=2,250$
• C. $s+p=60,30s+60p=2,250$
• D. $s+p=2,250,30s+60=60$

Answer 1

The correct option is A $s+p=40,37.5s+75p=1,875$

The easier equation is related to the total number of shirts and pants, s+p , sold on a regular day. The question states that on a regular day Bailey's sells $\frac{2}{3}$ the number of pants and shirts sold during a sale $\frac{2}{3}$ $\left(60\right)=40$. Therefore, one of the equations in the correct answer should be s+p = $40$. Eliminate (C) and (D) since neither of these answers include this equation. The other equation is related to the money Bailey's earns on a regular day. According to the question, Bailey's earns a total of $1,875$ on a regular day, so the equation must equal $1,875$. Eliminate (B) because the total in the money equation is incorrect. The correct answer is (A).