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Lorico [155]
2 years ago
8

Dave works two jobs. He works at the grocery store making $12 per hour and works at the car wash making $15 per hour. If he work

ed a total of 25 hours and made $333, how many hours did he work at the car wash? Set up the two equations and then solve.
Mathematics
1 answer:
vladimir2022 [97]2 years ago
8 0

Answer:

11 hours

Step-by-step explanation:

let he works at first store x hours and at car wash y hours. Then

x+y=25

multiply by 4

4x+4y=100  ...(1)

12x+15y=333

divide by 3

4x+5y=111   ... (2)

(2)-(1) gives

y=111-100=11

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Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ <em>first number</em>

X + 1 ⇒ <em>second number</em>

X + 2 ⇒ <em>third number</em>

X + 3 ⇒ <em>fourth number</em>

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

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On the left side of the equation, we can combine our x's and our numbers.

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      -6     -6   ← <em><u>subtract 6 from both sides of the equation</u></em>

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÷4    ÷4   ← <u><em>divide both sides of the equation by 4</em></u>

 <u>X = 53</u>

<u />

X ⇒ <em>first number   = 53</em>

X + 1 ⇒ <em>second number   = 54</em>

X + 2 ⇒ <em>third number   = 55</em>

X + 3 ⇒ <em>fourth number   = 56</em>

<em />

<em>Therefore, our 4 consecutive numbers are </em><em>53</em><em>, </em><em>54</em><em>, </em><em>55</em><em>, and </em><em>56</em><em>.</em>

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