Question

Janice is going to go buy dinner but she wants to use all the change that she has collected in her purse. She has a total of $12.10 in quarters, nickels and dimes. She has double the amount of quarters compared to nickels. The number of dimes is 5 less than twice the number of nickels. q: quarters d: dimes n: nickels Choose the correct verbal expressions for problems into a system of equations or inequalities.

Answer 1

x=2y

z+5=2y

0.25x+0.05y+0.10z=12.10

Step-by-step explanation

Step 1

Let

She has a total of $12.10 in quarters, nickels and dimes.=

`\text{total = 1}2.10`

a quarter =0.25 usd

a nickels=0.05 usd

a dime=0.10 usd

x= amount of quartes

y=amount of nickels

z=amount of dimes

total=0.25x+0.05y+0.10 z

Step 2

She has double the amount of quarters compared to nickels, in other words you have to multiply the amount of nickes by 2 to obtain the amount of quarters

`x=2y`

Also, The number of dimes is 5 less than twice the number of nickels, in other words, you have to add 5 to the number of dimes to obtain twice the number of nickels

`z\text{ +5=2y}`

Step 3

total

`0.25x+0.05y+0.10z=12.10`

and that's all, now you have a system of 3 equations and 3 variables(x,y,z)