Question

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. Write an equation to determine the cost of each bag of dog food

STEP IT OUT:

Answer 1

7

Explanation:

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?

example:

ositive numbers

numbers greater than zero

Negative Numbers

numbers less than zero

Integers

whole numbers and their opposites

Absolute Value

The distance a number is from zero on a number line. ALWAYS POSITIVE

equation

A mathematical sentence that contains an equals sign.

more examples:

9- (-9)=

18

121 / -11

-11

2(n + 5) = −2

-6

9

−9x + 1 = −80

253 + 234=

487

−15 = −4m + 5

5

8n + 7 = 31

3

Hope this helps bsf

Answer 2

Let ( C ) represent the cost of each bag of dog food. The equation to determine the cost is ( 10C - 5 = 65 ).

To express the relationship between the cost of each bag of dog food and the total spent, we use algebraic notation. Let ( C ) represent the cost of each bag. Molly bought 10 bags, so the total cost without considering the coupon would be ( 10C ). Since she had a $5 coupon, we subtract that amount, resulting in ( 10C - 5 ). According to the problem, this total cost is equal to $65. Therefore, the equation to determine the cost is ( 10C - 5 = 65 ).

To solve for ( C ), we isolate the variable on one side of the equation. Add 5 to both sides of the equation:

10C - 5 + 5 = 65 + 5

10C = 70.

Now, divide both sides by 10:

`\[ (10C)/(10) = (70)/(10) \]`

C = 7.

So, the cost of each bag of dog food is $7. The equation ( 10C - 5 = 65 ) accurately represents the relationship between the number of bags, the cost per bag, and the coupon, allowing us to determine the cost of each bag based on the given information.