Math  /  Algebra

QuestionThis question has two parts. First, answer Part A. Then, answer Part B. Part A
Ishi bought a \6.95canvasand8tubesofpaint.Shespentatotalof6.95 canvas and 8 tubes of paint. She spent a total of \24.95 24.95 on the canvas and paints.
Which equation can be used to determine the cost, cc, of each tube of paint? A) 6.95+8c=24.956.95+8 c=24.95 B) 6.958c=24.956.95-8 c=24.95 C) 8+6.95c=24.958+6.95 c=24.95 D) 86.95c=24.958-6.95 c=24.95

Studdy Solution

STEP 1

What is this asking? We need to find the equation that lets us calculate how much each paint tube costs, knowing Ishi bought one canvas and 8 tubes for a total price. Watch out! Don't mix up the price of the canvas with the price of the paint tubes!

STEP 2

1. Set up the equation.
2. Check the equation.

STEP 3

Alright, let's break this down!
Ishi bought one canvas for $6.95\$6.95 and 8 tubes of paint.
We don't know the cost of each paint tube yet, so let's call that cc.
The total she spent was $24.95\$24.95.

STEP 4

We can **represent** the total cost of the paint tubes by multiplying the number of tubes (**8**) by the cost per tube (cc).
This gives us 8c8 \cdot c or 8c8c.

STEP 5

Now, we **add** the cost of the canvas ($6.95\$6.95) to the total cost of the paint tubes (8c8c).
This should **equal** the total amount Ishi spent, which is $24.95\$24.95.
So, our equation becomes: 6.95+8c=24.956.95 + 8c = 24.95

STEP 6

Let's **double-check** our equation to make sure it makes sense.
The equation says that the price of the canvas plus 8 times the price of each paint tube equals the total amount spent.
That sounds exactly right!

STEP 7

Now, let's **compare** our equation to the options given.
Our equation, 6.95+8c=24.956.95 + 8c = 24.95, perfectly matches option A!
Boom!

STEP 8

The equation that can be used to determine the cost, cc, of each tube of paint is A) 6.95+8c=24.956.95 + 8c = 24.95.

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