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Ugo [173]
2 years ago
14

West Jones bought markers for their teachers' dry erase boards. They bought 822 items in all. Each eraser cost $1.50 and each ma

rker cost $1.10. The administration spent $953 altogether for the items.
Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
6 0

Answer:

<em>Number of erasers bought = 122</em>

<em>Number of markers bought = 700</em>

<em />

Step-by-step explanation:

Given that:

Two items to be bought:

1. Eraser for the dry board

2. Maker

Total items bought = 822

Total money spent = $953

Cost of each eraser = $1.50

Cost of each marker = $1.10

Let the number of erasers bought = x

Let the number of markers bought = y

As per question statement:

x+y=822 ..... (1)

1.50x+1.10y=953\\\Rightarrow 15x+11y=9530 ..... (2)

Multiplying equation (1) with 11 and subtracting from equation (2):

4x = 9530 - 822\times 11\\\Rightarrow 4x = 488\\\Rightarrow x=122

By equation (1):

\Rightarrow y =822-122\\\Rightarrow y = 700

Therefore, the answer is:

Number of erasers bought = 122

Number of markers bought = 700

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