Jen and Chris are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Chris sold 3 small ones, ad 14 large ones for a total of $203. Jen sold 11 small ones and 11 large ones for $220. Find the cost of one small box and one large box.
+14915 Jen and Chris are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Chris sold 3 small ones, ad 14 large ones for a total of \(203.\ Jen\ sold\ 11\ small\ ones\ and\ 11\ large\ ones\ for\) 220. Find the cost of one small box and one large box.
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\(3s+14l=203\ |\cdot 11\\ 11s+11l=220\ |\cdot 3\\ 33s+154l=2233\\ \underline{33s\ +33l\ =660}\)
\(121l=1573 \)
\(\color{blue}l=13\)
\(33s+33\cdot 13=660\\ s=(660-13\cdot 33)/33\)
\(\color{blue}s=7\)
The cost of one small box is 7.
The cost of one large box.is 13.
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