Solving Proportion Word Problems

What is the purpose of setting up equations in these word problems?

• To understand the relationship between different quantities

• To directly find the solution to the problems

• To practice algebraic manipulation

• To compare different methods of solving

How do you set up a proportion for the cost of 7 markers?

• By setting the ratio of 9 markers to their cost equal to 7 markers to their unknown cost

• By adding the cost of two markers to the cost of 9 markers

• By comparing the cost of 7 markers to 9 markers directly

• By multiplying the cost of 9 markers by 7/9

What can be flipped in a proportion to still maintain a valid equation?

• The entire equation

• Both sides of the equation

• The denominators of both ratios

• The numerators of both ratios

What is a valid way to manipulate proportions?

• Flipping both sides of the equation

• Only using whole numbers

• Changing the values to make them easier to solve

• Ignoring one of the ratios

In the apples problem, what is the unknown variable representing?

• The cost of 7 apples

• The number of apples you can buy with $8

• The total cost for an unknown number of apples

• The ratio of apples to dollars

How is the proportion set up for the apples problem?

• By equating the cost of 7 apples to the cost of x apples

• By setting the ratio of 7 apples to $5 equal to x apples to $8

• By dividing $8 by the cost of 7 apples

• By multiplying the number of apples by the cost per apple

What does the variable 'x' represent in the eggs problem?

• The ratio of people to eggs

• The number of people

• The cost of eggs

• The number of eggs needed for 15 people

How do you determine the number of eggs needed for a 15-person cake?

• By dividing the number of people by the number of eggs

• By adding more eggs until the ratio is correct

• By setting the ratio of people to eggs for 5 people equal to that for 15 people

• By multiplying the number of eggs by 3

Why is it not advisable to use 'e' as a variable in mathematical problems?

• Because it represents a mathematical constant

• Because it's not visually appealing

• Because it's too common

• Because it can be confused with 'error'

What is the constant ratio in the cake recipe problem?

• The ratio of eggs to flour

• The ratio of cakes to eggs

• The ratio of sugar to eggs

• The ratio of people to eggs