Painted Pots lets customers choose and paint their own pottery. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost 18$. She also painted 4 small teacups to go with her teapot. Rebecca spent a total of 42$ on pottery.Which equation can you use to find c, the cost of each teacup?Choices:(A) 18(c+4)=42(B) 4(c+18)=42(C) 18c+4=42(D) 4c+18=42What was the cost of each teacup?___$
Q. Painted Pots lets customers choose and paint their own pottery. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost 18$. She also painted 4 small teacups to go with her teapot. Rebecca spent a total of 42$ on pottery.Which equation can you use to find c, the cost of each teacup?Choices:(A) 18(c+4)=42(B) 4(c+18)=42(C) 18c+4=42(D) 4c+18=42What was the cost of each teacup?___$
Understand the problem: Understand the problem.Rebecca spent a total of 42$$\) on pottery. She bought the largest teapot for 18$$\) and 4 small teacups. We need to find the cost of each teacup, which is represented by c.
Set up the equation: Set up the equation.The total cost is the sum of the cost of the teapot and the cost of the 4 teacups. The equation to represent this situation is the cost of the teapot plus 4 times the cost of each teacup equals the total cost.So, the equation is 18+4c=42.
Identify the correct equation: Identify the correct equation from the choices.Looking at the choices given, the correct equation that matches our setup is (D) 4c+18=42.
Solve for c: Solve the equation for c.Subtract 18 from both sides of the equation to isolate the term with c.4c+18−18=42−184c=24Now, divide both sides by 4 to solve for c.44c=424c=6
Verify the solution: Verify the solution.To verify, plug c=6 back into the equation.4c+18=424(6)+18=4224+18=4242=42The solution c=6 satisfies the equation, so it is correct.
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