Help me solve this two questions

thomasngure

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[FONT=&quot] 1. When the price of an item was raised by $ 5, I bought 2 fewer items with $ 2000, what is the initial price of the item? [/FONT]



[FONT=&quot]2. A group of people planned to contribute equally towards a water project which needed $ 20, 000,000 to complete. However, 40 members of the group withdrew from the project. As result, each of the remaining members was to contribute $ 25,000 more.[/FONT][FONT=&quot]Required[/FONT] [FONT=&quot]i. [/FONT][FONT=&quot]Find the original number of the member of the members in the group
[/FONT]
[FONT=&quot]ii. [/FONT][FONT=&quot]Forty five percent of the project was funded by the Constituency Development Fund (CDF). Calculate the amount of contribution that would be made by each of the remaining members of the group
[/FONT]
[FONT=&quot]iii. Members contributions were in terms of labor provided and money contributed. If the ration of the labor to the money contributed was 10:15, calculate the total amount of money contributed by the members. [/FONT]
 
[FONT=&quot] 1. When the price of an item was raised by $ 5, I bought 2 fewer items with $ 2000, what is the initial price of the item? [/FONT]
Let the original price be P, the original number bought, X. When the price was raised by $5, the new price was P+ 5. "2 fewer" is X- 2 so the total spent would be (P+ 5)(X- 2)= $2000. That is a single equation with two unknowns so it is impossible to determine P, the initial price. Was there not additional information?


[FONT=&quot]2. A group of people planned to contribute equally towards a water project which needed $ 20, 000,000 to complete. However, 40 members of the group withdrew from the project. As result, each of the remaining members was to contribute $ 25,000 more.[/FONT]
Let N be the original number of members of the group and let P be the amount each was to contribute. Then NP= 20000000. If 40 members withdrew, there were N- 40 left. If each contributes 25000 more, then each contributes P+ 25000 so now we have (N- 40)(P+ 25000)= 20000000. That is two equations in two unknowns so you should be able to solve it. In particular, since NP= 20000000, P= 20000000/N. Replacing P in the second equation with that we have (N- 40)(20000000/N+ 25000)= 20000000. Multiply both sides by N and you will have a quadratic equation to solve.

[FONT=&quot]Required[/FONT] [FONT=&quot]i. [/FONT][FONT=&quot]Find the original number of the member of the members in the group
[/FONT]
[FONT=&quot]ii. [/FONT][FONT=&quot]Forty five percent of the project was funded by the Constituency Development Fund (CDF). Calculate the amount of contribution that would be made by each of the remaining members of the group
[/FONT]
[FONT=&quot]iii. Members contributions were in terms of labor provided and money contributed. If the ratio of the labor to the money contributed was 10:15, calculate the total amount of money contributed by the members. [/FONT]
 
1. When the price of an item was raised by $ 5, I bought 2 fewer items with $ 2000, what is the initial price of the item?
What variable have you chosen for the original number of items intended to be purchased? Given this variable and the total amount spent, what expression stands for the original price per item?

Given the variable you chose, what expression stands for the number of items actually purchased? Given the expression for the original price per item, what expression stands for the actual price per item?

Given the stated amount spent, and the fact that this amount is the product of the actual number purchased and the actual selling price, what equation stands for the actual purchase?

What did you get when you tried to solve this equation?

2. A group of people planned to contribute equally towards a water project which needed $ 20, 000,000 to complete. However, 40 members of the group withdrew from the project. As result, each of the remaining members was to contribute $ 25,000 more.Required:

i. Find the original number of the member of the members in the group

What variable did you choose for the original number of members? Given the total amount needed, what expression then stands for the originally-planned per-member contribution?

Given your variable and the number of people who withdrew, what expression stands for the actual number of members? Given the expression for the originally-planned per-member contribution, what expression stands for the actual per-member contribution?

Given the total amount contributed, and the fact that this amount is the product of the actual number of members and the actual per-member contribution, what equation stands for the actual contribution?

What did you get when you tried to solve this equation?

Forty five percent of the project was funded by the Constituency Development Fund (CDF). Calculate the amount of contribution that would be made by each of the remaining members of the group

If forty-five percent was provided by one party, then how much (as a percentage) remains for the others? Given the total amount needed, what is this remaining percent of this total amount?

iii. Members contributions were in terms of labor provided and money contributed. If the ration of the labor to the money contributed was 10:15, calculate the total amount of money contributed by the members.
If ten parts are labor and fifteen parts are money, how many parts are there in total?

Given the amount that the non-Fund members contributed, how much (in money) is one "part"?

Then how much money was contributed?

Please reply with your responses to the above questions, showing all of your work. Thank you! ;)
 
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