Question

Ack and Jill had a lemonade stand. At the end of the day, they had 75 buckles and quarters totaling $6.75. How many of each type of coin do they have?

a) 45 buckles and 30 quarters
b) 30 buckles and 45 quarters
c) 25 buckles and 50 quarters
d) 35 buckles and 40 quarters

Answer 1

To solve this problem, we need to set up and solve a system of equations using the given information. However, none of the options provided are correct.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let x represent the number of buckles and y represent the number of quarters. We can write two equations based on the given information:

x + y = 75

0.25x + 0.10y = 6.75

Now we can solve this system of equations using substitution or elimination. Let's use elimination:

Multiplying the first equation by 0.10, we get: 0.10x + 0.10y = 7.50

Subtracting this equation from the second equation, we get: 0.25x - 0.10x = 6.75 - 7.50

Simplifying, we have: 0.15x = -0.75

Dividing both sides by 0.15, we get: x = -5

Since the number of buckles cannot be negative, we can conclude that there was an error in the question. None of the options provided are correct.