Chapter SH, Problem 5.8MPS

To determine

To calculate:To find the number of each items purchased in the below table when a total of $\$30.50$ was spent -

  

Answer to Problem 5.8MPS

  $6$ notebooks were purchased, $4$ packages of Paper were purchased and $3$ boxes of Pens were purchased.

Explanation of Solution

Given information:

Given-

Total of $\$30.50$ was spent.

Table -

  

Calculation:

Given-

Total of $\$30.50$ was spent.

Table -

  

Cost of Notebook $=$ Cost $\times$ Number purchased

Cost of Notebook $=$ $\$3.00\times 2b$

Thus, Cost of Notebook $=$ $6b$

Cost of Package of Paper $=$ Cost $\times$ Number purchased

Cost of Package of Paper $=$ $\$2.00\left(b+1\right)$

Thus, Cost of Package of Paper $=$ $2b+2$

Cost of Box of Pens $=$ Cost $\times$ Number purchased

Cost of Box of Pens $=$ $\$1.50\times b$

Thus, Cost of Box of Pens $=$ $1.5b$

Total Cost of all Items $=$ Cost of Notebook $+$ Cost of Package of Paper $+$ Cost of Box of Pens

  $30.50$ $=$ $6b$ $+$ $2b+2$ $+$ $1.5b$

  $30.50$ $=$ $9.5b+2$

Solving further, we have:

  $b=3$

Thus, number of notebooks $=2b$

Number of notebooks $=2\times 3$ $=6$

Thus, Package of Paper $=b+1$

Number of Package of Paper $=3+1$ $=4$

Thus, number ofBox of Pens $=b$

Number of Box of Pens $=3$

Thus, $6$ notebooks were purchased, $4$ packages of Paperwere purchased and $3$ boxes of Penswere purchased.

Conclusion:

  $6$ notebooks were purchased, $4$ packages of Paper were purchased and $3$ boxes of Pens were purchased.