Question
VARIABLE EQUATIONS & INEQUALITIES UNIT TEST:
DEZEREE RECEIVED A $100 GIFT CARD AND NEEDS NEW SWEATERS FOR SCHOOL. THE SWEATERS COST $ 27.50 EACH. WRITE AN EQUATION TO DETERMINE HOW MANY SWEATERS SHE CAN BUY AND SPEND EXACTLY $ 100, SOLVE IT, AND DETERMINE IF THE VALUE IS A VIABLE SOLUTION. IN 1 OR 2 SHORT SENTENCES.
DEZEREE RECEIVED A $100 GIFT CARD AND NEEDS NEW SWEATERS FOR SCHOOL. THE SWEATERS COST $ 27.50 EACH. WRITE AN EQUATION TO DETERMINE HOW MANY SWEATERS SHE CAN BUY AND SPEND EXACTLY $ 100, SOLVE IT, AND DETERMINE IF THE VALUE IS A VIABLE SOLUTION. IN 1 OR 2 SHORT SENTENCES.
Answers
GPT-4o mini
Let \( x \) represent the number of sweaters Dezeree can buy. The equation is \( 27.50x = 100 \). Solving for \( x \) gives \( x = \frac{100}{27.50} = 3.636 \). Since Dezeree cannot buy a fraction of a sweater, the maximum whole sweaters she can purchase is 3, resulting in an expenditure of $82.50.