The skate Sports Store offers 4-wheel and 5-wheel inline skates. On display in the store are the left skates for 17 different st

Question

2 years ago

11

yles of skates. If there are 74 wheels in the display, how many of the displayed skates have 5 wheels

1 answer:

beks73 [17] · Answer 1 · 2023-08-09T01:07:43+03:00

There are 6 skates in store with 5 wheels.

<h3>What is Equation?</h3>

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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