Mark works two jobs – he works in Bob’s Bakery and in Ciara’s Café. He is paid €11 an hour for his work in Bob’s Bakery, and €9 an hour for his work in Ciara’s Café. In one week he worked a total of 16 hours and was paid a total of €152. Find how many hours he worked in Bob’s Bakery in this week.

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Mark works two jobs – he works in Bob’s Bakery and in Ciara’s Café - Junior Cycle Mathematics - Question 10 - 2012

Question 10

Mark works two jobs – he works in Bob’s Bakery and in Ciara’s Café. He is paid €11 an hour for his work in Bob’s Bakery, and €9 an hour for his work in Ciara’s Café.... show full transcript

Worked Solution & Example Answer:Mark works two jobs – he works in Bob’s Bakery and in Ciara’s Café - Junior Cycle Mathematics - Question 10 - 2012

Step 1

Let $x$ be the number of hours Mark worked in Bob's Bakery and $y$ be the number of hours Mark worked in Ciara's Café.

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Answer

According to the problem, we have the following equations:

Total hours worked: $x + y = 16$
Total pay: $11x + 9y = 152$

Step 2

Solve the equations simultaneously.

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Answer

From the first equation, express $y$ : $y = 16 - x$

Substituting this into the second equation: $11x + 9(16 - x) = 152$ This simplifies to: $11x + 144 - 9x = 152$ $2x + 144 = 152$ $2x = 8$ Hence, $x = 4$ .

Step 3

Substituting $x$ back to find $y$.

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Answer

Using the first equation again: $x + y = 16$ $4 + y = 16$ Hence, $y = 12$ .

Step 4

Final conclusion

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Answer

Thus, Mark worked 4 hours in Bob's Bakery this week.

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