In last night’s basketball game, Sally scored 9 less than twice what Lucy scored. The sum of their scores is 27. How many points did Sally and Lucy make individually?

Make sure that you read the question carefully several
times.

We are looking for two numbers, and since we can write the number of points Sally made in terms of the number of points Lucy scored we will let

*x* = the number of
points Lucy scored

Sally scored 9 less than twice what Lucy scored:

*2x* - 9 = number of
points Sally scored

***Inv. of sub. 9 is add. 9**

***Inv. of mult. by 3 is div. by 3**

If we add 12 and a 15 (a number 9 less than twice 12)
we do get 27.

**FINAL ANSWER:**

**The number of points Sally scored was 15.**

The heights in inches of three basketball players are 3 consecutive integers. If the sum of twice the 1st, 3 times the 2nd, and the 3rd is 437, what are the three heights.

Make sure that you read the question carefully several
times.

We are looking for 3 **consecutive
integers**, we will let

*x* = 1st consecutive
integer

*x* + 1 = 2nd consecutive
integer

*x* + 2 = 3rd
consecutive integer

***Inv. of add. 5 is sub. 5**

***Inv. of mult. by 6 is div. by 6**

If we take the sum of twice 72, three times 73, and 74,
we do get 437

**FINAL ANSWER:**

**The heights of the three basketball players in inches
are 72, 73,
and 74.**

A rectangular floor has a perimeter of 54 feet. If the length is 3 more than the width, what are the dimensions of the floor?

Make sure that you read the question carefully several
times.

We are looking for the length and width of the rectangle. Since length can be written in terms of width, we will let

*w* = width

length is 3 feet more than the width:

*w* + 3* = *length

***Inv. of sub. 6 is add. 6**

***Inv. of mult. by 4 is div. by 4**

If width is 12, then length, which is 3 feet more than
the width, would
have to be 15. The perimeter of a rectangle with width of 12 feet
and length of 15 feet does come out to be 54.

**FINAL ANSWER:**

**Length is 15 feet.**

The original price of a CD player was marked down 15%
and is now $127.50, how much was the original price?

Make sure that you read the question carefully several
times.

We are looking for the price of the CD player before the markdown, we will let

*x* = price of the CD
player before the
markdown.

***Inv of mult. .85 is div. by .85**

If you markdown 15% from $150 you would get $127.50.

**FINAL ANSWER:**

for *T*

Let’s solve this formula for *T*:

***Formula solved for T**

for *m*

Let’s solve this formula for *m*:

***Inverse of mult. by p is div. by p**

***Formula solved for m**

Last revised on Dec. 15, 2009 by Kim Seward.

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