Caps hock guess and check (or use algebra) to solve #3 & # 4 3. plato has 36 coins in nickels, dimes, and quarters. the number of nickels is three less than twice the number of dimes. the total value of the coins is $5.20. how many of each type of coin does plato have? mel 36 coinsin d
4. katy bought a ski hat that was marked down 35% to $15.60. what was the price of the hat before the markdown? (hint: she was in oregon where they do not have sales tax). 35 9. douon 15.60 5. sele amo ont 621.06

Part 1:

Let the nickels be = n

Let the dimes be = d

Let the quarters be = q

Plato has 36 coins in nickels, dimes, and quarters. So, equation forms:

   .....(1)

The number of nickels is three less than twice the number of dimes.

   ....(2)

The total value of the coins is $5.20.

  .... (3)

Substituting n=2d-3 in (1) and (3)

=>    ....(4)

=>

=>    ...(5)

Multiplying (4) by 0.25 and subtracting (5) from (4)

now subtracting (5) from this we get;

=> d = 8

Substituting d = 8 in

=> q = 15

Substituting values of d and q in , we get n

=> n = 13

Therefore Plato has 13 nickels, 15 quarters and 8 dimes.

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Part 2:

Let the original price of the ski hat be = x

Original price was marked down by 35% means value was lowered by 35%.

So, we can calculate as:

=>

=>

x = 24

Hence, the original price was $24 but after 35% marking down, it was available for $15.60.

d

step-by-step explanation:

d

46.2+112.3

step-by-step explanation: