Homework Help: Math

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

Mr. Logan purchased $390 in clothing (excluding sales tax). He bought 5 identical shirts, 3 identical pairs of pants and 2 identical pairs of shoes. Each pair of shoes cost twice the combined value of one shirt and a pair of pants. Each pair of pants cost $10 more than one shirt.

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 10:36am
In 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 10:44am
Thank 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 11:16am
You are welcome

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

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