Scarves Pairs of Mittens Hats Pairs of Socks Total
Wilhelmina 7 2 24 19 52
Emanuel 8 2 9 14 33
Jose Raul 3 4 18 10 35
Alexandra 15 1 9 9 34
Total 33 9 60 52 154
A group of students were surveyed about their hat choices for the Spirit Week at their college. $60 %$ of them converged on solid-color hats, $22 %$ of them wanted hats with stripes and rest of them liked star hats. The anticipation says that there are $1800$ students in the college and each will buy one hat. From the above table, calculate number of solid-colored hats will Wilhelmina and Alexandra be responsible for knitting, If the ratios in the table remain constant for Spirit Week hat production.

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Solution

According to the table Wilhelmina will be responsible for $\frac{24}{60}$ of the hats, and Alexandra will knot $\frac{9}{60}$ of them.
The knitting club needs to knit $1800$ hats total, $60 %$ of which should be solid colored per the survey results.
This means that $0.6 \times 1800 = 1080$ hats should be soild-coloured.
Add together the fraction for Wilhelmina and Alexandra to get $\frac{33}{60}$
Mulitplying this by the total number of solid colored hats will yield the number that Wilhelmina and Alexandra will knit: $\frac{33}{60} \times 1080 = 594$

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	Scarves	Pairs of Mittens	Hats	Pairs of Socks	Total
Wilhelmina	7	2	24	19	52
Emanuel	8	2	9	14	33
Jose Raul	3	4	18	10	35
Alexandra	15	1	9	9	34
Total	33	9	60	52	154