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Keymaster
Post count: 724

Kim, Lou and Pat decided to sell hand-made necklaces at a local market. Kim invested \$50, Lou \$35 and Pat \$40 to buy the beads. After two weeks they had sold \$200 worth of necklaces. They decided to share this income in the same ratio as their original investment. Pat’s profit from the project was?

50:35:40
50 + 35 + 40 = 125 parts

200 ÷ 125 = \$1.60

each part is worth \$1.60

Pat contributed 40 parts
40 × 1.6

\$64

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Keymaster
Post count: 724

In a particular state it was decided that post-primary schools and colleges with 360 students should have 30 teachers and that this ratio should be used for every school. The principal of a school wanted to find whether to 28 teachers was the correct number for 492 students or whether more teachers would be needed.
a. Calculate the preferred ratio of teachers to students.
b. How many more teachers are needed to meet this new ratio?
c. Another school has 288 students and 26 teachers. What staff changes would be needed to bring this school to the correct ratio?

a. 360:30
= 12:1

b. 492 ÷ 12 = 41, so would need an 41 – 28
= 13

c. 288 ÷ 12 = 24
need 24 teachers, so need to remove two teachers