Question

you sell large and small pictures at a fair. you sell a total of 16 pictures and made a total of $350. if you sell for $ 25 and small pictures sell for $20 how much of each did you sell?

Answer 1

To solve the problem, set up a system of equations and solve it using the elimination method. The number of large pictures sold is 6 and the number of small pictures sold is 10.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's denote the number of large pictures as 'L' and the number of small pictures as 'S'. From the given information, we can form the following equations:

1. L + S = 16 (equation 1)
2. 25L + 20S = 350 (equation 2)

To solve this system of equations, we can either use substitution or elimination method. Let's solve it using the elimination method.

1. Multiply equation 1 by 20 to make the coefficients of S in both equations equal: 20L + 20S = 320 (equation 3)
2. Subtract equation 3 from equation 2 to eliminate S: (25L + 20S) - (20L + 20S) = 350 - 320
3. Simplify the equation: 5L = 30
4. Divide both sides by 5: L = 6
5. Substitute the value of L into equation 1 to solve for S: 6 + S = 16
6. Simplify the equation: S = 10

Therefore, you sold 6 large pictures and 10 small pictures at the fair.