1. There are 30 coins in a cash drawer. The coins are nickels and dimes, There i

Question

1. There are 30 coins in a cash drawer. The coins are nickels and dimes, There is $2.10 in the drawer. Find the number of nickels and the number of dimes in the cash drawer.

A. Draw a table or chart

B. Define the variables

C. Write an equation and solve it

2. It takes Erin 30min. to shovel the snow off her driveway by herself, Erin's son takes 45 min. to clear the driveway of snow. If they work together, how long will it take Erin and her son to shovel all the snow off the driveway?

A Define the variables

B. Make a table

C. Write the equation and solve it.

D. Write solution in a complete sentence.

3.It takes

Explanation / Answer

Nickel worth 5 cents

dime worth 10 cents

Let there be x nickels and y dimes,

then the total money = 5x + 10 y = (2.1*100) = 210.

we have 30 coins, so x+y = 30

solving both equations,

y = 12 , x = 18

no. of nickels = 18

no. of dimes = 12.

b) Le the quantity of work be " x"

then for Eric , rate at which he works = x / 30

then for Eric's son , rate at which he works = x / 45

if both work together, rate at which both work together = (x/30) +(x/45)

time required = x / ((x/30) +(x/45) )

time required = 1 / ((1/30) +(1/45) ) = 18 min

18 min is the final answer.

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