Solve the following application using \"5-Steps for Problem Solving\". Set up a

Question

Solve the following application using "5-Steps for Problem Solving". Set up a linear system of equations and use either substitution or elimination method to solve: During a one-month promotional campaign. Video Village gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $3.00 for each free rental and $1.75 for each box of popcorn. In all, 52 new members were signed up and the store's cost for the incentives was $126. How many of each incentive were given away?

Explanation / Answer

Let x = number of free rental DVDs and y= number of boxes of popcorns

We know that x+y=52; so x= 52-y
3x+ 1.75y= 126

But x=52-y so
3(52-y) +1.75y=126;
156-126=3y-1.75y
5y/4=30;
y=120/5=24;

x=52-24= 28;
Thus number of free rental DVD incentives = 28
Nuber of Boxes of popcorns =24;

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.