# math

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1.a collection of 105 coins consists of 1 peso and 5 pesos. if the total value is 205 pesos, find the number of coins of each denomination in the collection.

2.leslie's wallet contains 20 peso bills and 1 peso coins with a total of 232 pesos. how many each denomination are in her wallet if she has 21 pieces in all?

3. working together, alice and betty can do a certain job in 4 1/3 days. but alice fell ill after 2 days of working and betty finished the job continuing to work alone in 6 3/4 more days. how long it take each to do the job if each of them worked alone?

4. gian and arwin can finish a project in 4 3/2 hours. gian can do it alone in half as much time as arwin can do the job. how long will it take arwin to do the job alone?

5. roma can finish weeding a flower garden in 4 1/2 hours. roma has worked for 2 hours before amor joined her and they finished the job in 2 hours. how long would it take both of them to finish the job working together? how long would it take amor to do the job alone?

• math -

Are you allowed to use algebraic methods? They make it a lot easier.

• math -

We do not do your work for you. Once you have attempted to answer your questions, we will be happy to give you feedback on your work. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school?

However, I will give you a start.

1. Let x = 1 peso coins and y = 5 peso coins

y = 5x

x + y = 205

Substitute 5x for y in second equation and solve for x. Insert that value into the first equation and solve for y. Check by inserting both values into the second equation.