Q6 - Algebra 1

Question

Is \(12 enough to buy a half gallon of milk for \)2.30, a bag of apples for \(3.99, and four cups of yogurt that cost \)0.79 each? Explain.

Step-by-Step Solution

Answer

$12 is enough to buy half-gallon milk for $2.49, a bag of apples for $4.35 and four cups of yogurt that costs $0.89 each.

Step-1. Apply the concept of the four-step process for problem-solving.

A four-step plan is used to solve real-world problems with the help of mathematical tools.

Steps involved in the four-step plan:

1. Explore/Understand the problem
2. Devise a plan to solve the problem
3. Carry out the plan(solve)
4. Look back (check and interpret)

Step-2. Explore/Understand the problem.

The cost of three food items:

half gallon of milk is $2.30, a bag of apples is $3.99, and four cups of yogurt cost $0.79 each

 

An exact solution is required since the total cost of food items is to be compared to $12.

Step-3. Devise a plan to solve the problem.

Total cost of food items will be sum of individual costs of items, keeping in mind the quantity of each item.

Step-4. Carry out the plan(solve).

Let the total cost be C

$C=2.49+4.35+0.89\times 4$

$=10.4$

So, we need $\$10.4$ to buy all the food items.

Also, $10.4<12$

Therefore, we can conclude that $\$12$ is enough to buy the three food items.

Step-5. Look back (check and interpret).

Since the total cost is positive number and money is always positive, the answer is verified.

Thus, $12 is enough to buy half gallon milk for $2.49, a bag of apples for $4.35 and four cups of yogurt that costs $0.89 each.