Answer:
[tex]Evelyn \: knit \: made \to \\ \boxed{12 }\: hats \: and \: \boxed{8 } \: scarves[/tex]
Step-by-step explanation:
[tex]let \: the \: hats \: be \to \: h \\ let \: the \: scarves \: be \to \: s \\ then \to \\ 5h + 15s = 180.....(eq .1) \\ 110h + 150s = 2,520.....(eq .2) \\ from \: .....(eq .1) \\ 15s = 180 - 5h \\ s = \frac{180 - 5h}{15} .....(eq .3) \\ equating \: .....(eq .3) \: in \: .....(eq .2) \\ 110h + 150( \frac{180 - 5h}{15} ) = 2,520 \\ 110h + 10(180 - 5h) = 2,520 \\ 110h + 1800 - 50h= 2,520 \\ 60h = 2520 - 1800 \\ 60h = 720 \\ \boxed{h = 12} \\ applying \: \boxed{h} \: in \: .....(eq .3) \\ s = \frac{180 - 5(h)}{15} \\ \\ s = \frac{180 - 5(12)}{15} \\ \\ s = \frac{120}{15} \\ \boxed{ s = 8}[/tex]
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