All New SAT Writing and Language Resources
Example Questions
Example Question #541 : Arithmetic
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many additional feet of the material will he need to purchase to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
The carpenter needs of material. Since he already has
he will need to purchase
more to finish the project.
Example Question #542 : Arithmetic
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs of material.
Example Question #483 : New Sat
A carpenter is making a model house and he buys of crown molding to use as accent pieces. He needs
of the molding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
The carpenter needs of material.
Example Question #484 : New Sat
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs of material.
Example Question #485 : New Sat
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
The carpenter needs of material.
Example Question #6 : Solving Word Problems With One Unit Conversions
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs of material.
Example Question #543 : Arithmetic
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
Reduce.
The carpenter needs of material.
Example Question #12 : Solving Word Problems With One Unit Conversions
A carpenter is making a model house and he buys of crown moulding to use as accent pieces. He needs
of the moulding for the house. How many feet of the material does he need to finish the model?
We can solve this problem using ratios. There are in
. We can write this relationship as the following ratio:
We know that the carpenter needs of material to finish the house. We can write this as a ratio using the variable
to substitute the amount of feet.
Now, we can solve for by creating a proportion using our two ratios.
Cross multiply and solve for .
Simplify.
Divide both sides by .
Solve.
The carpenter needs of material.
Example Question #575 : Grade 7
Mark is three times as old as his son Brian. In ten years, Mark will be years old. In how many years will Mark be twice as old as Brian?
In ten years, Mark will be years old, so Mark is
years old now, and Brian is one-third of this, or
years old.
Let be the number of years in which Mark will be twice Brian's age. Then Brian will be
, and Mark will be
. Since Mark will be twice Brian's age, we can set up and solve the equation:
Mark will be twice Brian's age in years.
Example Question #490 : New Sat
Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is years old?
Not enough information is given to determine the answer.
Since Gary will be 37 in five years, he is years old now. He is twice as old as Cathy, so she is
years old, and in five years, she will be
years old.
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