Question

Two florists purchased flower bouquets and vases at the same store. The first florist bought 3 flower bouquets and 5 vases for a total of $25.75. The second florist bought 8 flower bouquets and 2 vases for a total of $29.00.
What is the price of a flower bouquet?

Answer 1

I finished the test and here's the answer~!
3x+5y=25.75
8x+2y=29.00
So I first got what x is equal too.
8x+2y=29    8x+2y-2y=29-2y    8x=29-2y    8x/8=29/8-2y/8    x=3.625-0.25y
Next substitute x for the equation.
3(3.625-0.25y)+5y=25.75
10.875-0.75y+5y=25.75
10.875-10.875+4.25y=25.75-10.875
4.25y/4.25=14.875/4.25
y = 3.5
Now substitute y for 3.5.
8x+2(3.5)=29
8x+7-7=29-7
8x/8=22/8
x = 2.75
The price of a flower bouquet would be $2.75. Don't worry I got this question correct. :)