Question

You are buying one car safety bumper sticker for each member of your school's Safe Driver's club to kick off the "stop texting and driving" campaign. There are 19 members in the club. You have decided to buy large bumper stickers and small bumper stickers. The large bumper stickers cost $3, and the small bumper stickers cost $2. You will spend $50. How many large bumper stickers should you buy? How many small bumper stickers should you buy?

Answer 1

To determine how many large and small bumper stickers to buy, set up a system of equations. By using substitution, it is found that 12 large bumper stickers and 7 small bumper stickers should be purchased.

Step-by-step explanation:

To find out how many large bumper stickers and small bumper stickers you should buy, we need to set up a system of equations using the given information.

Let's say the number of large bumper stickers you buy is L, and the number of small bumper stickers you buy is S.

From the information given, we know that:

3L + 2S = 50 (total cost equation)

L + S = 19 (total number of club members equation)

To solve these equations, we can use a method called substitution. First, let's solve the second equation for L:

L = 19 - S

Now we can substitute this value of L into the first equation:

3(19 - S) + 2S = 50

57 - 3S + 2S = 50

-S = -7

S = 7

So, you should buy 7 small bumper stickers. Now we can substitute this value of S into the second equation to find L:

L + 7 = 19

L = 12

Therefore, you should buy 12 large bumper stickers.