Answer:
5.9
Step-by-step explanation:
The mean means arithmetic average (some people just say average here).
The average of 4 numbers is the sum of those 4 numbers divided by the number of numbers which is 4 in this case.
So we have this formula:
Multiply both sides by 4:
Simplify:
Subtract 13.3 on both sides:
Simplify:
a = adult shirts sold
c = children shirts sold
we know the store sold for every 5 "a", there were 3 "c" sold, so we can say that the adult to children shirts are on a 5 : 3 ratio.
We also know that whatever "c" is, adult shirts sold last weekend was 30 more than that, or namely "c + 30".
![\stackrel{\textit{\large ratios}}{\cfrac{\stackrel{adult}{a}}{\underset{children}{c}}~~ = ~~\cfrac{5}{3}}\qquad \implies \qquad \stackrel{\textit{we also know that \underline{a = c + 30}}}{\cfrac{c+30}{c}~~ = ~~\cfrac{5}{3}} \\\\\\ 3c+90=5c\implies 90 = 2c\implies \cfrac{90}{2}=c\implies \boxed{45=c}~\hfill \stackrel{c + 30}{\boxed{a=75}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{total~sold}{120}~\hfill](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratios%7D%7D%7B%5Ccfrac%7B%5Cstackrel%7Badult%7D%7Ba%7D%7D%7B%5Cunderset%7Bchildren%7D%7Bc%7D%7D~~%20%3D%20~~%5Ccfrac%7B5%7D%7B3%7D%7D%5Cqquad%20%5Cimplies%20%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bwe%20also%20know%20that%20%5Cunderline%7Ba%20%3D%20c%20%2B%2030%7D%7D%7D%7B%5Ccfrac%7Bc%2B30%7D%7Bc%7D~~%20%3D%20~~%5Ccfrac%7B5%7D%7B3%7D%7D%20%5C%5C%5C%5C%5C%5C%203c%2B90%3D5c%5Cimplies%2090%20%3D%202c%5Cimplies%20%5Ccfrac%7B90%7D%7B2%7D%3Dc%5Cimplies%20%5Cboxed%7B45%3Dc%7D~%5Chfill%20%5Cstackrel%7Bc%20%2B%2030%7D%7B%5Cboxed%7Ba%3D75%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7Btotal~sold%7D%7B120%7D~%5Chfill)
Answer:
4 19/24
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The answer of this question is 42
Answer:
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