Three companies, A, B, and C, cooperate with a technological university to develop a project. The in

Question

Three companies, A, B, and C, cooperate with a technological university to develop a project. The investment ratio of companies A, B, and C is $a : b : c$ in the simplest form. The university does not invest money but will share $25%$ of the profits. The rest of the profits will be shared by companies A, B and C according to the ratio of their investments. The pie chart below shows the investment of the three companies. Find the values of $a$, $b$ and $c$. Construct a pie chart using the figure below to illustrate the profit distribution among companies A, B, C, and the university, stating clearly the degree of each sector, profit distribution in percentage and the name of each entity. Given that the project yields a total profit of $\$2\ 800\ 000$, find the amount of profit that companies A, B, C and the university receive, respectively. Given that the profit rate of companies A, B and C is $40%$, find the investment of companies A, B and C, respectively. State one advantage of representing the investment of the companies and profit distribution in pie charts.

Accepted Answer

(i) $a=3$, $b=5$, $c=7$ (ii) A: $15\%,54^\circ$, B: $25\%,90^\circ$, C: $35\%,126^\circ$, University: $25\%,90^\circ$ (iii) A: $420{,}000$ dollars, B: $700{,}000$ dollars, C: $980{,}000$ dollars, University: $700{,}000$ dollars (iv) A: $1{,}050{,}000$ dollars, B: $1{,}750{,}000$ dollars, C: $2{,}450{,}000$ dollars (v) A pie chart shows each share as a proportion of the whole

Pie Charts

Pie Charts

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