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blsea [12.9K]
3 years ago
14

Leon has a handful of of dimes and quarters valuing $3.40. He has 6 more dimes than he does quarters. How many of each coins doe

s he have?
Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer: 14 dimes and 8 quarters

<u>Step-by-step explanation:</u>

dimes ($0.10): x + 6

quarters ($0.25): x

Cost*quantity of dimes + Cost*quantity of quarters = Total value

0.10(x + 6) + x(0.25) = 3.40

0.10x + 0.60 + 0.25x = 3.40

0.35x + 0.60 = 3.40

<u>            -0.60  </u> <u>-0.60 </u>

0.35x             = 2.80

<u>÷0.35            </u>  <u>÷0.35 </u>

      x              = 8

dimes: x + 6   = 8 + 6   = 14

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This shows that about 7 and 3 pounds of each chocolate were included in the mixture.

Let the number of pounds of both chocolates be x and y.

If Enrico sold a 10-pound box of assorted chocolates, hence;

x + y = 10 ................. 1

If some of the chocolates in the box sold  for $1.75 per pound and some sold for $2.00 per pound with mixture sold for $1.90 per pound, then:

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Solve equations 1 and 2 simultaneously.

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Learn more here: brainly.com/question/15165519

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