Question

1. Girl scouts are selling two products as a fundraiser: a Mint Treasure tin of cookies for $12 each and Dark Chocolate Penguins sets for $8 each. At the end of her sale, Mae loses her order sheet! All she knows is that she sold 46 total items, and collected $428 dollars. How many Penguin sets did she sell? How many Mint Treasure tins?

Answer 1

Mae sold 31 Dark Chocolate Penguin sets and 15 Mint Treasure tins.

Step-by-step explanation:

To find out how many Dark Chocolate Penguin sets Mae sold and how many Mint Treasure tins she sold, we can set up a system of equations. Let's assume that she sold x Penguin sets and y Mint Treasure tins. We know that she sold a total of 46 items, so we have the equation: x + y = 46. We also know that she collected $428 dollars, so we have the equation: 8x + 12y = 428.

To solve this system of equations, we can use the substitution or elimination method. Let's use the elimination method. Multiply the first equation by 8 to make the coefficients of x in both equations equal: 8x + 8y = 368. Now subtract this equation from the second equation: (8x + 12y) - (8x + 8y) = 428 - 368. Simplify to get: 4y = 60. Divide both sides by 4 to solve for y: y = 15. Substitute this value of y back into the first equation to solve for x: x + 15 = 46. Subtract 15 from both sides to get: x = 31. So, Mae sold 31 Dark Chocolate Penguin sets and 15 Mint Treasure tins.