SOLUTION: one bag contains 43 coins, coins are $2 and $5. find the number of coins of each denomination if there is $167 in total
Algebra.Com
Question 1023342: one bag contains 43 coins, coins are $2 and $5. find the number of coins of each denomination if there is $167 in total
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers of $2 and $5 coins, x and y. Then we write
x + y = 43 and the value equation is
2x + 5y = 167
Multiply the top one by two and subtract...we get
2x + 5y = 167
-(2x + 2y = 86)
-----------------
3y = 81
y = 27 $5 coins and thus there are
x = 16 $2 coins
RELATED QUESTIONS
A bag contains 15 coins. Each coin is a penny,
nickel, dime or quarter. The total value... (answered by josgarithmetic)
a bag contains 160 coins, there are coins of 10 and 25 cents. find the number of coin of... (answered by fractalier)
A bag contains 5ps coins, 10ps coins and 20ps coins in the ratio of 1:2:4. If their total (answered by Fombitz)
A coin purse contains 5 centavos, 10 centavos and 25 centavo coins. The number of 10... (answered by josmiceli)
A collection of 100 coins consist of 5 and 10 if the total value is 725 find the number... (answered by Edwin McCravy)
A collection of 105 coins consists of 1.00 and 5.00. If the total value is 205.00, Find... (answered by Maths68)
A bag contains 25 paise and 50 paise coins whose total value is Rs 30. If the number if... (answered by sachi)
A bag contains 40 coins, all of them either $2 coins or $5 coins. The total value of... (answered by richwmiller)
Daniel has three coins whose total value is $0.56. Find the number of coins in each... (answered by Edwin McCravy)