The cost of a set of golf clubs is $530. If the irons cost $90 more than the woods, find the cost of the irons. The irons costs​

Explanation:

r = cost of irons

w = cost of woods

These costs are in dollars. They are some positive real number.

The irons cost $90 more than the woods, so r = w+90

The total cost is $530, leading to r+w = 530

We can apply substitution to solve for w

r+w = 530

(r) + w = 530

(w+90) + w = 530 replace r with w+90

w+90+w = 530

w+w+90 = 530

2w+90 = 530

2w+90-90 = 530-90 ... subtract 90 from both sides

2w = 440

2w/2 = 440/2 divide both sides by 2

w = 220

A set of woods golf clubs cost $220

This must mean

r = w+90

r = 220+90

r = 310

The set of irons cost $310

Check:

(woods cost)+(irons cost) = (220) + (310) = 530

This confirms the answer.

50.6

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