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?
+122 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.
