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You went to the store and purchased a pair of sneakers, socks and a shirt. The shirt cost 40% of the cost of the sneakers. The socks cost 20% of the shirt. How much is each item if the total amount spent is $118.40?

 Jan 23, 2020
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Here you have sneakers (x), socks (y) and shirt (z). Each of these can be expressed as a function of the sneakers. For example the shirt (z) is 0.4 times the price (40%) of the sneakers, and so on. Then we have the following:
z=0.4x

y=0.2z

If y is 0.2z then y can also be writen as 0.2*0.4x=0.08x

x+0.4x+0.08x=118.4

1.48x=118.4

x=118.4/1.48

x=80

z=0.4*80

y=0.2(0.4*80) 

 

Sneakers cost 80, shirt costs 32 and the socks costs 6.4

 

Cheers.

 Jan 23, 2020

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