A survey of people attending a Lunar New Year celebration in Chinatown yielded the following results: [i] 120 were women, [ii] 150 spoke Cantonese, [iii] 170 lit firecrackers, [iv] 108 of the men spoke Cantonese, [v] 100 of the men did not light firecrackers, [vi] 18 of the non-Cantonese-speaking women lit firecrackers, [vii] 78 non-Cantonese-speaking men did not light firecrackers, and [viii] 30 of the women who spoke Cantonese lit firecrackers. [a] Draw a Venn diagram as depicted below with the unknowns s, t, u, v, w, x, y and z representing the number of objects in their respective regions. Write the eight equations in the eight unknowns based on the eight statements given above. [a] Draw a Venn diagram as depicted below with the unknowns s, t, u, v, w, x,y and z representing the number of objects in their respective regions. Write the eight equations in the eight unknowns based on the eight statements given above. Women $ > .t .W Lit Firecrackers -y Spoke Cantonese & .u 2 [b] Write the eight equations from part a in augmented matrix form. Then, use elementary row operations to reduce the augmented matrix into its equivalent reduced row-echelon form. [c] Redraw the Venn diagram with the number of elements in their respective regions as you calculated above. Tip:- Doing this will make it a lot easier to answer the following questions: [d] How many attended? [e] How many of those who attended did not speak Cantonese? [f] How many women did not light firecrackers? [g] How many of those who lit firecrackers were Cantonese-speaking men?