Transcript Solving_Word_Problem..

Solving Word Problems
In Algebra County
Write Heading
Write Equation
Solve Equation
Write Solution asked for
On Wednesday, Harry picked 3 times as many
quarts of berries as on Tuesday. On Thursday, he
picked 5 times as many quarts as on Tuesday. In
all he picked 153 quarts. Find the number he
picked each day.
The heading defines the variables
needed to solve the problem.
x is the variable we know the least
about.
On Wednesday, Harry picked 3 times as many
quarts of berries as on Tuesday. On Thursday, he
picked 5 times as many quarts as on Tuesday. In
all he picked 153 quarts. Find the number he
picked each day.
For this problem, we need to make
variables for:
Which one do
Tuesday x
we know the
Wednesday 3x
least about?
Thursday 5x
On Wednesday, Harry picked 3 times as many
quarts of berries as on Tuesday. On Thursday, he
picked 5 times as many quarts as on Tuesday. In
all he picked 153 quarts. Find the number he
picked each day.
“In all” means add up all the
variables for each day.
x  3x  5x  153
x  3x  5x  153
9 x  153
9
9
x  17
Now, go back to the heading to write
all the solutions asked for.
On Wednesday, Harry picked 3 times as many
quarts of berries as on Tuesday. On Thursday, he
picked 5 times as many quarts as on Tuesday. In
all he picked 153 quarts. Find the number he
picked each day.
For this problem, we need to make
variables for:
Tuesday x  17 qts
Wednesday 3x  3(17)  51 qts
Thursday 5x  5(17)  85 qts
Tuesday x  17 qts
Wednesday 3x  3(17)  51 qts
Thursday 5x  5(17)  85 qts
We can check it by adding
the three answers together
to see if we get 153.