Question

I REALLY NEED THIS DONE RIGHT NOW

evelyn knits hats and scarves for charity. she records the time it takes and the amount of yarn needed to make one of each item. Last winter Evelyn knitted for 180 hours. She used 2,520 yards of yarn. How many hats and scarves did Evelyn knit? (it has the data)

Answer 1

It is midpoint, vertex, and medians in that order.

Explanation:

there

Answer 2

`Evelyn \: knit \: made \to \\ \boxed{12 }\: hats \: and \: \boxed{8 } \: scarves`

Explanation:

`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 = (180 - 5h)/(15) .....(eq .3) \\ equating \: .....(eq .3) \: in \: .....(eq .2) \\ 110h + 150( (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 = (180 - 5(h))/(15) \\ \\ s = (180 - 5(12))/(15) \\ \\ s = (120)/(15) \\ \boxed{ s = 8}`

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