A corner store sells two kinds of baked goods: cakes and pies. A cake costs $15 and a pie costs $13. In one day, the store sold 9 baked goods for a total of $121. How many cakes did they sell?
a. 8 cakes
c. 7 cakes
b. 2 cakes
d. 4 cakes

a. 8

Step-by-step explanation: Out of  12   baked goods sold , let the number of cakes sold, be  x  in number and pies sold were  12 − x  in number. Total sell was  $ 144  ,  1  cake costs  $ 14  and  1  pie costs, $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96  or 6 x = 48 ∴ x = 8

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w