Question

Jude has seven times as many dimes as nickels. Their value is $5.25. How many nickels does he have?
49
15
7

Answer 1

Nickel = 5 cents
Dime = 10 cents.

Can you guess what equation would be used here?

Answer 2

n+5=d+10

Answer 3

But where is the 2.25 dollars thingy?

Answer 4

i hate equations

Answer 5

Convert 2.25 dollars to cents and you get 225.
225 will be on one side.

Answer 6

u mean 5.25

Answer 7

Let x be the number of nickels. And then just think how many dimes are there. 7 TIMES THE NUMBER OF DIMES. So 7x number of nickels.

Answer 8

Yes I mean 5.25.

Answer 9

Forming an equation, you'll get:

\( \color{Black}{\Rightarrow x(10) + 7x(5) = 525 }\)

x times 10 cents plus 7x times 5 cents will make 525. Simple as that.

Answer 10

Do you know how to solve this equation?

Answer 11

ill try ^-^

Answer 12

First step would be to distribute by the way.

Answer 13

What is 10 times x? What is 7x times 5?

Answer 14

10x and 35x

Answer 15

=45x

Answer 16

Sorry, the equation would be:

\( \color{Black}{\Rightarrow 7x(10) + 5x = 525}\)

Answer 17

70x+5x=525

Answer 18

=75x

Answer 19

Yes, add 70x and 5x. 75x = 525. What will be the next step?

Answer 20

i dont know my brain hurts

Answer 21

To isolate the variable x, you may divide both sides by 75.

Answer 22

x=7

Answer 23

To isolate any variable, do the opposite operation already done.

\( \color{Black}{\Rightarrow x + 3 = 90 }\)

For example ^. You'll subtract both sides by 3.

Answer 24

Yes, and there are x nickels.

Answer 25

oh yaa its coming back to me now

Answer 26

that part anyway

Answer 27

x = 7, so 7 nickels.

Answer 28

yup

Answer 29

You got it?

Answer 30

yup