Question

At the zoo gift shop, posters of eagles cost $7 and posters of grizzly bears cost $10. Mrs. Johnston bought 4 posters and spent $34. How many of each type of poster did she buy?

Answer 1

Mrs. Johnston bought 2 posters of eagles and 2 posters of grizzly bears.

Step-by-step explanation:

To solve this problem, we can use a system of equations. Let's assume that Mrs. Johnston bought x posters of eagles and y posters of grizzly bears. We know that the price of each eagle poster is $7 and the price of each grizzly bear poster is $10. From the given information, we can set up the following equations:

1. x + y = 4 (since Mrs. Johnston bought 4 posters in total)

2. 7x + 10y = 34 (since the total cost of the posters was $34)

To solve this system of equations, we can use the elimination method or substitution method. I will use the substitution method. Rearrange the first equation to solve for x in terms of y:

1. x = 4 - y

Substitute this expression for x in the second equation:

2. 7(4 - y) + 10y = 34

Simplify and solve for y:

3. 28 - 7y + 10y = 34

4. 3y = 6

5. y = 2

Now substitute this value of y back into the first equation to solve for x:

6. x + 2 = 4

7. x = 2

Therefore, Mrs. Johnston bought 2 posters of eagles and 2 posters of grizzly bears.