Question

It's Summerween! Mabel and Dipper are buying supplies. Each household is buying $30 worth of candy. The Pine Twins are bringing 13 bags of candy. The chocolate assorted bag costs $3.00 each and the chewy candies cost $2.00 per bag. How many bags of each type of candy did they buy?

Answer 1

Mabel and Dipper bought 4 bags of chocolate assorted candies and 9 bags of chewy candies to meet their requirements of 13 bags of candy at a total cost of $30.

Step-by-step explanation:

To solve how many bags of each type of candy Mabel and Dipper bought, we need to set up two equations based on the given information. They are buying 13 bags of candy in total, and spending $30 total. Chocolate assorted bags cost $3.00 each, and chewy candies cost $2.00 each.

Let's denote the number of chocolate assorted bags as C and the number of chewy candies as Ch. We can then set up the following system of equations:

• C + Ch = 13
• 3C + 2Ch = 30

To find the values of C and Ch, we need to solve this system of equations. This can be done using substitution or elimination. By using elimination, we multiply the first equation by -2 and add it to the second equation:

• -2C - 2Ch = -26
• 3C + 2Ch = 30

Adding these equations together we get C = 4. This means they bought 4 bags of chocolate assorted candies. We then substitute C back into the first equation:

• 4 + Ch = 13

Which gives us Ch = 9. Therefore, they bought 9 bags of chewy candies.

Answer 2

Mabel and Dipper bought 7 bags of chocolate assorted candy and 6 bags of chewy candies.

Step-by-step explanation:

In this scenario, Mabel and Dipper bought a total of 13 bags of candy, aiming to spend $30. Since the chocolate assorted bags cost $3 each and the chewy candies cost $2 per bag, a system of equations can be set up to represent this situation.

Let x be the number of chocolate assorted bags and y) be the number of chewy candy bags.

The total number of bags equation is x + y = 13 as they bought a total of 13 bags.

The cost equation is 3x + 2y = 30 since the total cost of all the bags amounts to $30.

Solving this system of equations leads to the values: x = 7 (number of chocolate assorted bags) and y = 6 (number of chewy candy bags).

Therefore, Mabel and Dipper bought 7 bags of chocolate assorted candy and 6 bags of chewy candies to meet their $30 candy budget while acquiring a total of 13 bags.