Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

Kendra has $15.40 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin
does she have?

Sagot :

Rspill6idn

Answer:

14 Dimes and 56 Quarters

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Also, I'll use pennies (not dollars) to eliminate the hassle of decimal points.

We are told that:

10D + 25Q = 1540  [Kendra has $15.40 in dimes and quarters]

We also find that:

Q = 4D     [4 times as many quarters as dimes]

Substitute the expression for Q in the second equation into the first:

10D + 25Q = 1540

10D + 25(4D) = 1540

10D + 100D = 1540

110D = 1540

D = 14

Since Q = 4D:

Q = 4(14)

Q = 56

==========

Check:

Does 10D + 25Q = 1540  ?

10(14) + 25(56) = 1540

140 + 1400 = 1540  YES

Does Q = 4D   ?

56 = 4(14)  YES

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.