155k views
3 votes
Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the number of dimes that Jayden has.

User MageNative
by
5.0k points

1 Answer

4 votes

Answer:

Total number of dimes=6

Total number of nickels=12

Explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

x=1.2/0.2

x=6

y=2 x=2×6=12

Total number of dimes=6

Total number of nickels=12

User Brian Henry
by
5.8k points