We can solve this question easiest by putting it as 2 equations.
First, well put the original equation, 2c+5b=55,000. B stands for the cost of backyard pool weddings and c stands for the cost of carribean weddings.
We got this equation because the question states that there were 2 carribean weddings and 5 pool weddings, and the amount of money obtained was $55,000 total as a result.
Now, we’ll put the extra information into an equation, c-10,000=b. We got this equation because it clearly states that backyard pool weddings cost 10,000 less than Caribbean, so c-10,000=b. Now, we have to solve. Since the first equation has 2 variables, it is unsolvable. This is where the second equation comes in. We can rewrite c-10,000=b as b+10,000=c.
Now, since b+10,000=c, substitute b+10,000 for c in the first equation. The result is 2(b+10,000)+5b=55,000. Now that we only have one variable in the equation, it is solvable. 20,000+7b=55,000 7b=55,000 B=7,857 Now to solve for c, insert 7,857 for b in the second equation. 7,857+10,000=c 17,857=c The cost of carribean weddings was $17,857. The cost of a backyard pool wedding was $7,857. Hope this helps!
Answer: y = 6 mi. . ______________________________________________ Explanation: ______________________________________________ Area of a triangle = (½) * (base) * (height) ;
or, A = (½) * b * h ; or, A = b*h / 2 ; _____________________________________ Given: A = 24.3 mi ² ; b = 8.1 mi ___________________ Find the height, "h" ; (in units of "miles", or , "mi" ). __________________________ Plug in the known values into the formula:
24.3 mi ² = (½) * (8.1 mi) *(h) ; _____________________________ Solve for "h" (height) ; _____________________________ (½) * (8.1 mi) = 4.05 mi ; ______________________________ Rewrite: ____________________________ 24.3 mi² = (4.05 mi) *(h) ; Solve for "h" ; _________________________________________ Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ; __________________________________________ 24.3 mi² / 4.05 mi = (4.05 mi) *(h) / 4.05 mi ;
→ 6 mi = h ; ↔ h = 6 mi.
→ h = y = 6 mi. ____________________________________________
Total amount earned when stadium is full = 300,500 dollars (T)
so if we formulate this using our variables y,z,x,w and T problem it becomes:
y*x + z*w = T, which says the
Tickets for front row seat times Number of front row seats plus Cost of remaining seats ticket times Number of remaining seats gives us Total amount earned by the stadium.
