Samuel wants to buy at least twice as many dvds as cds. cds sell for $7 each, and dvds sell for $12 each. samuel can spend a maximum of $50. let c represent the number of cds, and let d represent the number of dvds. which system of inequalities can be used to find the number of cds and dvds samuel can buy?

The inequalities that will be used are:

d ≥ 2c

7c+12d ≤ 50

Step-by-step explanation:

Let:

c = number of CDs purchased

d = number of DVDs purchased.

It is given that:

Samuel wants to buy at least twice as many DVDs as CDs.(1)

CDs sell for $7 each, and DVDs sell for $12 each.

Samuel can spend a maximum of $50.(2)

Let c represent the number of CDs, and let d represent the number of DVDs.

Hence, we have from first statement that:

d ≥ 2c.

From the second statement we have:

7c+12d ≤ 50

Hence, the inequalities used are:

d ≥ 2c

7c+12d ≤ 50.