Question

The weekly salary of a security guard, $S, is based on the formula, S=B+8H where B is the basic wage in dollars, and H is the number of hours he is on duty per week.

(a) Given that the security guard received $710 for a total of 45 hours of work in a particular week, find the basic wage.

(b)
(i) Calculate the salary he received after working for 42 hours in one week.
(ii) At the end of another week, the security guard earned $662. Find the number of hours worked that week.​


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Answer 1

A. 350

B. (i) $686 (ii) 39 Hours

Explanation:

Based on what's given..

A)

`\sf S=B+8H`

`\sf 710=B+8*45`

`\sf 710=B+360`

`\sf B=710-360`

`\boxed{\sf B= 350}`

B)

(i)

`\sf S=350+8*42`

`\sf S=350+336`

`\boxed{\sf S=686}`

(ii)

`\sf 662=350+8H`

`\sf 8H=662-350`

`\sf H=312 / 8`

`\boxed{\sf H=39}`