Tammy bought a bag of bite-sized candies. A serving of 4 pieces of candy is 165 calories.
Part 1
Which equation represents the number of calories, c, in x pieces of candy?
A. c=4/165x
B. c=165/4x
C. c=165x+4
D. c=4x+165
Part 2
How many pieces of candy are in the bag if the entire bag has 1,485 calories? Use only the digits 0 – 9 to enter the number.
___________________________
I think its
Part1: B (so this is correct)
Part2:Mrs. sue told me 41.25 are in 1 piece of candy, in the question it says to use digits 0-9, so what i did is i found 36 pieces of candy makes 1485 calories in a bag, but the "Use only the digits 0 – 9 to enter the number" confused me, but i deicided to divide that by 4 and got 9 as my answer, is that correct?
Your question: "How many pieces of candy are in the bag ?"
Your correct answer: " i found 36 pieces of candy makes 1485 calories in a bag."
I don't understand the bit about using on those digits. Please ask your teacher.
Part 1:
Yes, you are correct. The equation that represents the number of calories, c, in x pieces of candy is c = 165/4x. Therefore, your answer of B is correct.
Part 2:
To find the number of pieces of candy in the bag, we can use the information given and the equation from Part 1. We are told that the entire bag has 1,485 calories. We can set up an equation:
c = 165/4x
Substitute the value of c as 1,485:
1,485 = 165/4x
To isolate x, we can multiply both sides of the equation by 4:
4 * 1,485 = 165 * x
5,940 = 165x
Now, divide both sides by 165 to solve for x:
5,940 / 165 = 165x / 165
36 = x
Therefore, there are 36 pieces of candy in the bag.
Part 1:
The equation that represents the number of calories, c, in x pieces of candy is given by option B: c = (165/4)x. This equation is obtained by dividing the total number of calories (165) by the number of candy pieces in a serving (4), and then multiplying it by the desired number of candy pieces (x).
Part 2:
To find the number of pieces of candy in the bag, you'll need to divide the total number of calories in the bag (1,485) by the number of calories in a serving (165). The result will give you the total number of servings in the bag. Since each serving contains 4 pieces of candy, you can multiply the total number of servings by 4 to get the total number of candy pieces in the bag.
Using this method, we have:
Number of servings in the bag = 1,485 / 165 = 9
Total number of candy pieces in the bag = Number of servings × Number of pieces per serving = 9 × 4 = 36
Therefore, there are 36 pieces of candy in the bag.
The "Use only the digits 0 – 9 to enter the number" instruction means that you should only use the digits from 0 to 9 to represent the answer. In this case, the number 36 can be represented using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, so it is a valid answer.
So, your answer of 36 as the number of candy pieces in the bag is correct.