Question

Yolanda had three times as many nickels as dimes if the total value is 1 how many of each coin did she have?

Answer 1

Hi there! Let's call 'x' the number of dimes she has. THe number of nickels she has, then, is 3x. Can you write an equation that describes the value of the coins?

Answer 2

3x(0.05)+x(0.1)=1

Answer 3

yes, you got it! Now just multiply that out, collect like terms, and solve for x. What's the next step?

Answer 4

i am but a lil confused when doing distributive prop. im bad in math :(

Answer 5

no problem. Take each term separately. Let's start with 3x*(0.05) -- just multiply all the constants together.

Answer 6

it's 0.15

Answer 7

then add that to 0.10
?

Answer 8

Right - so now you have
0.15x + 0.1x = 1. Next collect like terms by adding the x's together.

Answer 9

ok, but isn't it 10 cents? not 0.1x

Answer 10

x * (0.1) is the same as 0.1x. Just like 0.05x was 5 cents per nicke, 0.1x is ten cents per dime.

Answer 11

got it its .25c then divide the 1.00 it'll give me 4?

Answer 12

Right, x = 4! And as you recall when we formulated the problem originally, x was the number of dimes. so how many nickles does she have?

Answer 13

hmmmm,idk how do u do this part

Answer 14

what does the problem say about how many nickles and dimes she has?

Answer 15

Yolanda had three times as many nickels as dimes if the total value is 1 how many of each coin did she have?

Answer 16

that's the question

Answer 17

right, she has 3 times as many nickels as dimes. so we solved for dimes, so how many nickels?

Answer 18

1.25?

Answer 19

she had 4 times so she has 3 times as many nickels.

Answer 20

oh yeah i had that! wow, cus it says it in the sentence i had done that, all i needed was the dimes which is 4 now
thanks

Answer 21

so it's 12 nickels

Answer 22

4 dimes and 3 times as many nickels is 12 nickels

Answer 23

ohhhh now i get it

Answer 24

thanks you for the patience

Answer 25

no problem