Question

part 3 of 3 the two tables show the comparison of cds to dvds for sale at baileys store and jans store. compare the ratio tables. which store has the greater ratio of cds to dvds? explain how you know. complete the ratio table for baileys store. baileys store cds: 5 15 20 dvds: 6 18 24 complete the ratio table for jans store. jans store cds: 4 12 20 dvds: 5 15 25 which store has the greater ratio? when the number of dvds is 15 (both stores), bailey has cds and jan has 12 cds. (type whole numbers.)

Explanation:

Step1: Simplify Bailey's ratios

Divide each CD count by DVD count:
$\frac{5}{10} = \frac{1}{2}$, $\frac{10}{20} = \frac{1}{2}$, $\frac{15}{30} = \frac{1}{2}$, $\frac{25}{50} = \frac{1}{2}$

Step2: Simplify Jan's ratios

Divide each CD count by DVD count:
$\frac{6}{12} = \frac{1}{2}$, $\frac{12}{24} = \frac{1}{2}$, $\frac{18}{36} = \frac{1}{2}$, $\frac{30}{60} = \frac{1}{2}$

Step3: Compare ratios at DVD=40

For Bailey: $\text{CDs} = 40 \times \frac{1}{2} = 20$
For Jan: $\text{CDs} = 40 \times \frac{1}{2} = 20$

Answer:

• Completed Bailey's Store ratio table (CD:DVD): 5:10, 10:20, 15:30, 25:50 (all simplify to $\frac{1}{2}$)
• Completed Jan's Store ratio table (CD:DVD): 6:12, 12:24, 18:36, 30:60 (all simplify to $\frac{1}{2}$)
• When DVDs = 40, Bailey has 20 CDs and Jan has 20 CDs. Neither store has a greater ratio of CDs to DVDs—their ratios are equal ($\frac{1}{2}$ for both).