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September 20, 2014

September 20, 2014

Posted by **Sunshine** on Wednesday, November 28, 2012 at 9:52am.

Use let statements to express the cost of each item and relationship to each other.Write the equation to represent the situation.

Find the cost of 1 shirt, 1 pair of pants, 1 pair of shoes.

Help - I don't know how to use the let statements. Have already figured out the cost of each item (1 shirt is $20, 1 pants $30, 1 shoes $100)

- Math -
**Reiny**, Wednesday, November 28, 2012 at 10:36amIn most cases it is advisable to define the smallest value, in this case the cost of a shirt

let each shirt cost x dollars

("Each pair of pants cost $10 more than one shirt. ---->)

let the cost of the pants be x+10

( "Each pair of shoes cost twice the combined value of one shirt and a pair of pants. ---->

let the cost of the shoes be 2(one shirt + one pants)

= 2(x + x+10)

= 4x + 20

5 shirts ----> 5x

3 pants ----> 3(x+10)

2 shoes ----> 2(4x+20)

5x + 3(x+10) + 2(4x+20) = 390

5x + 3x + 30 + 8x + 40 = 390

16x = 320

x = 20

so ...

1 shirt costs $20

1 pair of shoes costs $30

1 pair of pants costs $100

check:

5 shirts + 3 pants + 2 shoes

= 5(20) + 3(30) + 2(100)

= 390 YEAHHH

- Math -
**Sunshine**, Wednesday, November 28, 2012 at 10:44amThank you Reiny... you make it look so easy :)... thanks for the hint in starting with defining the smallest value.

- Math -
**Reiny**, Wednesday, November 28, 2012 at 11:16amYou are welcome

another good idea is to underline or isolate key sentences, then "translate" them into "math"

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