Algebra 1 Question

Question

How do you answer this question using a chart:

Jeremy had 34 nickel and quarters totaling $4.10. He had two less than twice as many nickels as quarters. How many of each did he have?

 

 

Answer 1

you can use a chart but it is easier using an equation

 

chart

q=# of quarters, 2q-2=# of nickels

 

 

quarters          nickels

1                      0

2                      2

3                      4

4                      6

5                      8

6                      10

7                      12

8                      14

9                      16

10                    18

12                    22       12+22=34 coins, 12*(0.25)+22*(0.05)=$3.00+$1.10=$4.10

 

equation

q+(2q-2)=34

3q-2=34

3q=34+2

3q=36

q=36/3

q=12 quarters, 34-12=22 nickels