Antonio and Candice had the same amount of money to spend at the Artist Emporium. Antonio paid \( \$ 35 \) for a large paint set and was able to buy 4 small canvases with the rest of his money. Candice paid \( \$ 24 \) for a small paint set and was able to buy 6 small canvases. Both Antonio and Candice ended up spending all their money. Which equation can you use to find \( c \), the price of each canvas? \( 35 c+4=24 c+6 \) What is the price of each canvas? \( \$ \$ \)

Let's denote the price of each canvas as \( c \). From the given information: - Antonio paid $35 for a large paint set and was able to buy 4 small canvases with the rest of his money. - Candice paid $24 for a small paint set and was able to buy 6 small canvases. We can set up the following equations based on the information provided: 1. Antonio's total spending: \( 35 + 4c = \text{Total money} \) 2. Candice's total spending: \( 24 + 6c = \text{Total money} \) Since both Antonio and Candice ended up spending all their money, we can equate the total spending of both: \[ 35 + 4c = 24 + 6c \] Now, we can solve this equation to find the price of each canvas. Solve the equation by following steps: - step0: Solve for \(c\): \(35+4c=24+6c\) - step1: Move the variable to the left side: \(35+4c-6c=24\) - step2: Subtract the terms: \(35-2c=24\) - step3: Move the constant to the right side: \(-2c=24-35\) - step4: Subtract the numbers: \(-2c=-11\) - step5: Change the signs: \(2c=11\) - step6: Divide both sides: \(\frac{2c}{2}=\frac{11}{2}\) - step7: Divide the numbers: \(c=\frac{11}{2}\) The price of each canvas is $5.50.