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Question

carlos has some quarters and nickels totaling $35.25 the coins totaled 305 when he counted them he wants to know how many total quarters he will need to have to buy a used bicycle for $50.60

Answer 1

Let x be number of quarters , a quarter = $0.25

Let y be number of nickles, a nickel = $0.05

0.25x + 0.05y = 35.25 --------(1)

x + y = 305 ------------(2)

From eqn(2) x = 305 - y

Substitute x into eqn (1) and solve for y :

0.25( 305 - y ) = 35.25

y = 205 nickles , x = 305 - 205 = 100 quarters

100 × $0.25 = $25.00

For the additional quarters to buy bicycle @ $50.60

$50.60 - $25.00 = $25.60

$25.60 ÷ $0.25 = 102.4 quarters (102 quarters and 2 nickles)

Total number of quarters needed to buy bicycle:

102 + 100 = 202 quarters

Answer 2

Let x = number of quarters

y = number of nickels

x + y = 305

0.25x + 0.05y = 35.25

-0.25x - 0.25y = -76.25

0.25x + 0.05y = 35.25

Add the equations to get -0.20y = -41

y = 205 and x = 100

100 quarters and 205 nickels are needed.

Answer 3

25x+5y=35.25

x+y=305

for bike he needs 202quarters and 2 nickles.