Question

oblem C-Guess&Check Strategy Instructions: Please read the following problem carefully. Using a PENCIL and GRAPH paper please use the Guess & Check Strategy to answer this problem. You must use the correct strategy and provide a complete answer is responsible counting how much loose change is in the cash register at Walmart. If Kyrie has $10.95 in quarters, dimes, and nickels. He has four more dimes than quarters. He has a total of 80 coins. Melissa has quarters, dimes, and nickels. She has three more nickels than quarters. She has a total of 70 coins worth $8.15. How many of each coin does Melissa have? How many of each coin does Kyrie have? What are the total of each coin between the two?

Answer 1

Let's 1st calculate for Kyrie:

Let Tyler has number of Quarter as X

Then Number of Dime = x + 4

Number of nickels = 80 - (x + x + 4) = 76 - 2x

As total value is $ 10.95 we have:

0.25 x + 0.1 (x + 4) + 0.05 (76 - 2x) = 10.95

=> 0.25 x = 6.75

=> x = 27

so Kyrie has Quater = x = 27

Dime = x + 4 = 31

Nickels = 76 - 2x = 22

Let's now calculate for Melissa:

Let quarter is x

Nickels = x + 3

Dime = 70 - (x + x + 3) = 67 - 2x

0.25x + 0.05 (x + 3) + 0.1(67 - 2x) = 8.15

=> x = 13

so now Melissa have Number of quarter = x = 13

Nickels = x + 3 = 16

Dime = 67 - 2x = 41

Total of each coin between two :

Quarter = 13 + 27 = 40

Dime = 31 + 41 = 72

Nickels = 22 + 16 = 38 ANSWERS