Sam goes to Paw-fect Pets to buy his dog a toy and some food. If he buys a chew toy for $16, he'll have exactly enough money left over to buy 7 cans of dog food. Alternatively, if he buys a ball for 3.50 $, he'll have exactly enough left over to buy 12 cans of dog food. Which equation can you use to find p, the price of a can of dog food? Choices: (A)16 + 7p = 3.5 + 12p (B)16 - 7p = 3.5 - 12p What is the price of a can of dog food? ____ $

Question

Sam goes to Paw-fect Pets to buy his dog a toy and some food. If he buys a chew toy for $16, he'll have exactly enough money left over to buy 7 cans of dog food. Alternatively, if he buys a ball for 3.50 $, he'll have exactly enough left over to buy 12 cans of dog food. Which equation can you use to find p, the price of a can of dog food?   Choices: (A)16 + 7p = 3.5 + 12p (B)16 - 7p = 3.5 - 12p  What is the price of a can of dog food?   ____ $

Bytelearn · Accepted Answer

Understand the Problem: Understand the problem. Sam has a certain amount of money. When he buys a chew toy for $16, he has enough money left to buy 7 cans of dog food. When he buys a ball for $3.50, he has enough money left to buy 12 cans of dog food. We need to find the price of one can of dog food, which we will call p.Set Up Equations: Set up the equations based on the given information. If we let the total amount of money Sam has be T, then we can write two equations based on the information given: 1. When he buys the chew toy: T - 16 = 7p 2. When he buys the ball: T - 3.50 = 12pChoose Correct Equation: Choose the correct equation to solve for p. We need to find an equation that relates the price of the dog food (p) without involving T. We can do this by setting the two expressions for the remaining money equal to each other since they both equal T minus the cost of the toy: T - 16 = 7p and T - 3.50 = 12p So, 7p + 16 = 12p + 3.50Solve for p: Solve the equation for p. Now we need to isolate p. We can do this by subtracting 7p from both sides of the equation: 7p + 16 - 7p = 12p + 3.50 - 7p This simplifies to: 16 = 5p + 3.50 Now, subtract 3.50 from both sides to isolate the term with p: 16 - 3.50 = 5p 12.50 = 5pDivide to Find p: Divide both sides by 5 to find the value of p. 12.50 / 5 = 5p / 5 2.50 = p

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