Question

The skate Sports Store offers 4-wheel and 5-wheel inline skates. On display in the store are the left skates for 17 different styles of skates. If there are 74 wheels in the display, how many of the displayed skates have 5 wheels

Answer 1

There are 6 skates in store with 5 wheels.

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, Let the number of 4 wheel skates in display be x

         and the number of 5 wheel skates in display be y

       Total number of skates = 17

       Total number of wheel = 74

Now, according to question

        x + y = 17     ................(i)

        4x + 5y = 74 ..................(ii)

From equation (i), we get

          x = 17 - y   ................(iii)

put the value of y in equation (ii), we get

      4(17 - y) + 5y = 74

       68 - 4y + 5y = 74

          y + 68 = 74

          y = 6

Put the value of y in equation (iii), we get

          x = 17 - 6

          x = 11

Thus, there are 6 skates in store with 5 wheels.

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