Hayley has 383 beads. She buys 49 more beads. She will use 78 beads to make bracelets and the rest to make necklaces. She will use 8 beads for each necklace. What is the greatest number of necklaces Hayley can make? show work please!!!

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.