6. Amelia baked some cookies. She was able to give 5 cookies each to 8 friends without having any cookies left over. How could you set up this problem as an algebraic equation to find out how many cookies Amelia baked in total?(1 point)Responses
1.c x 8 = 5
2.c + 8 = 5
3. c ÷ 8 = 5
4. c - 5 = 8
7. John is cooking cupcakes. The recipe calls for 3 3/10 cups of flour. He accidentally put in 3 5/8 cups of flour. How many extra cups did he put in?(1 point)Responses
1. 132/145 cups
2. 3 5/8 cups
3. 6 37/40 cups
4. 13/40 cups
6. The correct answer is 1. c x 8 = 5. This equation represents the total number of cookies baked (c) multiplied by the number of friends (8) should equal the number of cookies given to each friend (5).
7. The correct answer is 10/40 cups, which can be simplified to 1/4 cups. To find the extra cups, subtract the required amount (3 3/10 cups) from the actual amount (3 5/8 cups). The difference is 13/40 cups or 10/40 cups when simplified.
6. To set up this problem as an algebraic equation, let's use option 1: c x 8 = 5.
In this equation, "c" represents the number of cookies Amelia baked, and "8" represents the number of friends she gave cookies to. Since she gave 5 cookies to each friend, the equation can be read as "the number of cookies baked (c) multiplied by the number of friends (8) equals 5."
To solve for "c," we need to divide both sides of the equation by 8:
(c x 8) ÷ 8 = 5 ÷ 8
This simplifies to:
c = 5 ÷ 8
So, the correct equation to find out how many cookies Amelia baked in total is "c = 5 ÷ 8."
7. To calculate the extra cups of flour John put in, we need to subtract the required amount from the amount he actually put in.
The equation can be set up as:
3 5/8 cups - 3 3/10 cups
To subtract the fractions, we need a common denominator. In this case, the common denominator is 8.
Converting 3 3/10 cups to an improper fraction, we get 33/10 cups.
Now the equation becomes:
3 5/8 cups - 33/10 cups
To subtract these fractions, we need a common denominator. So, we'll convert 5/8 cups to a fraction with a denominator of 10:
5/8 cups = 25/40 cups
Now the equation becomes:
33/10 cups - 25/40 cups
To subtract fractions, we subtract the numerators and keep the common denominator:
33/10 cups - 25/40 cups = (33 - 25)/10 cups = 8/10 cups
Simplifying the fraction by dividing both the numerator and denominator by 2, we get:
8/10 cups = 4/5 cups
Therefore, John accidentally put in an extra 4/5 cups of flour.
6. The correct equation to find out how many cookies Amelia baked in total is: c x 8 = 40.
7. John accidentally put in an extra: 13/40 cups of flour.