A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create the system of linear equations and use it to find how many dimes and quarters are in the purse.

14 dimes, 21 quarters

Step-by-step explanation:

Represent dimes with d and quarters with q.

So: 35 coins means

1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means

So, the system of equations is:

Make d the subject in

Substitute 35 - q for d in

Open bracket

Collect Like Terms

Solve for q

Substitute 21 for q in

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.