we can say that there are 15 male teachers for every 35 female teacher
![\stackrel{\textit{\large ratio 1}}{\cfrac{15}{35}\qquad \cfrac{male}{female}} ~\hspace{10em} \stackrel{\textit{\large ratio 2}}{\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{7}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{3}{7}\qquad \cfrac{male}{female}}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%201%7D%7D%7B%5Ccfrac%7B15%7D%7B35%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D%20~%5Chspace%7B10em%7D%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%202%7D%7D%7B%5Ccfrac%7B%5Cstackrel%7B3%7D%7B~~%5Cbegin%7Bmatrix%7D%2015%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B%5Cunderset%7B7%7D%7B~~%5Cbegin%7Bmatrix%7D%2035%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B7%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D)
Answer:
Variables are x, y, z
System of equations are;
2x + z = 49
31.49x + 9.75z = 625.61
Step-by-step explanation:
Let x represent uniforms, y represent volleyball, z represent a pair of knee pads.
We are told he bought 6 more balls than uniforms. Thus; y = x + 6
Since he is buying 55 items, thus equation that represents total number of items bought is;
x + y + z = 55
Since y = x + 6, then;
x + x + 6 + z = 55
2x + z = 49
We are told he purchased uniforms for $18.5 each, volleyball for $12.99 dollar each, knee pads for $9.75 dollar for each pair
Since he has a budget of $703.55.
Thus, equation that represents budget and amount for each item is;
18.5x + 12.99(x + 6) + 9.75z = 703.55
18.5x + 12.99x + 77.94 + 9.75z = 703.55
31.49x + 9.75z = 703.55 - 77.94
31.49x + 9.75z = 625.61
Answer:
-10x+7.5
Step-by-step explanation:
