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ella [17]
3 years ago
10

Her coins have a total value of $9.50. She has a total of 50 coins. Write systems of equations can be used to find the number of

dimes, 푑푑, and the number of quarters, 푞푞, Alexis has. Solve the system and explain what the solution mean. {Hint: remember to use substitution or elimination method
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

Our system is : D + Q = 50  and  0.1*D + 0.25*Q = $9.50

Let D = # of dimes

Let Q = # of quarters

30 Quarters and 20 dimes

Step-by-step explanation:

Let D = # of dimes

Let Q = # of quarters

so

D + Q = 50  and  0.1*D + 0.25*Q = $9.50

We can solve this.

D = 50 - Q

0.1*(50 - Q) + 0.25*Q  = $9.50

5  -  0.1*Q + 0.25*Q = 9.5

5 + 0.15*Q  = 9.5

0.15*Q = 4.5

Q = 4.5 / 0.15 = 30

D = 50 - Q = 50 - 30 = 20

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