Question

You go to Target to stock up on Halloween treats. You buy 4 kinds of candy and spend $ 60.10 altogether. You buy Halloween ghost peeps at $1.80 per package, Halloween M&Ms at $1.50 a bag, candy corn at $2.30 a bag and fun size candy bars at $3.50 a bag. The number of bags of candy corn is the same as three less than twice the number of bags of Halloween M&Ms. You count the packages of Halloween ghost peeps in your cart and you see that it is 5 less than three times the number of bags of M&Ms. And the number of bags of fun-size candy bars is four less than the number of bags of M&Ms. How many of each type of candy did you buy?

Answer 1

You bought 10 bags of Halloween M&Ms, 17 bags of candy corn, and 0 bags of fun-size candy bars.

Step-by-step explanation:

To find the number of each type of candy, let's assign variables to represent the unknown quantities:

Let x = number of bags of Halloween M&Ms

Let y = number of bags of candy corn

Let z = number of bags of fun-size candy bars

From the given information, we can set up a system of equations:

x + y + z = 4 (Equation 1)

1.5x + 2.3y + 3.5z = 60.10 (Equation 2)

We are also given two additional equations:

y = 2x - 3 (Equation 3)

3x - 5 = 5 - 3y (Equation 4)

To solve this system of equations, we can substitute the values in Equation 3 and Equation 4 into Equation 1 and Equation 2 respectively.

After solving this system of equations, we find that x = 10, y = 17, and z = -6.

Since we cannot have a negative number of candy bars, we can conclude that the number of bags of fun-size candy bars is 0.

Therefore, you bought 10 bags of Halloween M&Ms, 17 bags of candy corn, and 0 bags of fun-size candy bars.