To state: How many servings of each are needed to supply exactly 29g of protein and 61g of calcium if roasted beef has 25g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2g of protein and 25g of calcium.
2 serving of potatoes and 1 serving of beef are needed to supply exactly 29g of protein and 61g of calcium.
Given information:
Roasted beef has 25g of protein and 11 g of calcium. A serving of mashed potatoes has 2g of protein and 25g of calcium.
Explanation:
Let’s assume x as number of serving of roast beef and y as number of serving of potatoes.
Now consider the given statements to form equations:
Roasted beef has 25g of protein and 11 g of calcium. A serving of mashed potatoes has 2g of protein and 25g of calcium.
Multiply equation (1) by 25 and equation (2) by 2,
Add equation (3) and (4),
Now find the value of variable y by substituting the value of x as 1 in equation (1) and simplify,
Therefore, to supply exactly 29g of protein and 61g of calcium, 2 serving of potatoes and 1 serving of beef are needed.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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