At an electronics store, the number of 37 inch HDTVs that is expected to be sold in a month is double that of 58 inch HDTVs and 50 inch HDTVs combined. Sales of 58 inch and 50 inch HDTVs are expected to be equal. 58 inch HDTVs sell for 4800 50 inch HDTVs sell for 2000 and 37 inch HDTVs sell for 1800. If the total sales of $168000 are expected this month how many of each HDTVs should be stocked
will represent as such number of 37 inch tvs=x number of 58 inch tvs=y number of 50 inch tvs =z
x is double of (y+z) x=2(y+z) y=z therefor x=2(y+y)=2(z+z)=4y=4z x=4y=4z y=$4800 z=$2000 x=$1800
4800y+2000z+1800x=168000 undistribute the 100 100(48y+20z+18x)=100(1680) divide the whole thing by 100 48y+20z+18x=1680 divide the whole thing by 2 24y+10z+9x=840 y=z 24y+10z=34y or 34z 34y+9x=840 convert 9x to y by multiply 4 9x times 4=36y or 36z 34y+36y=840 70y=840 divide both sides by 70 y=12 y=z z=12 x=4z x=4(12) x=48
they should stock: 12 50 inch tvs 12 58 inch tvs 48 38 inch tvs
