A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.

Question

A gem store sells beads made of amber and quartz. For 4 amber beads and  4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.

anonymous · Answer

if you put say $x$ as the price of the amber bead and $y$ as the price of the quartz bead you get the two equations 
$$4x+4y=46\x+3y=14.50$$

anonymous · Answer

the first equation you can divide all by 2 and get 
$$2x+2y=23$$ and the second you can solve for $x$ and get $x=14.5-3y$

anonymous · Answer

i will shut up and let you finish

anonymous · Answer

or else just add that if you substitute $x$ in the first equation by $14.5-3y$ you get 
$$2(14.5-3y)+2y=23$$ and you can solve that for $y$

anonymous · Answer

Is y=1.5 ?

aaronq · Answer

yeah

anonymous · Answer

Thanks guys!

aaronq · Answer

np