How can I do this

Question

Part A:An envelope contain 2 quarters as well as a number of dimes nickels and pennies.there are 5 dimes for every 3 pennies.there are 3 nickels for every 2 pennies.Determaine the least number of pennies.Part B:Suppose that the envelope contains the number of pennies you found in part A.What is the total value of all coins in the envelope?

Answer 1

From the data given you must have 5 dimes for every 3 pennies and 3 nickels for every 2 pennies.

 

A:   So the least number is the smallest number that will satisfy these two conditions. The least number will be to apply these conditions once, so 3 pennies and 2 pennies equals 5 pennies. Since the first sentence stated that the envelope contains some dimes and nickels you cannot use a value of zero for the amount of pennies which would also satisfy the 2nd and 3rd sentences.

 

B:  Total value = 2q + 5d + 3n + 3p + 2p

Total value = 2(0.25) + 5(0.1) + 3(0.05) + 5(0.01)

 

Total value = 2(0.25) + 5(0.1) + 3(0.05) + 5(0.01) 

Total value = $1.20