Chapter 8, Problem 15STP

To determine

To Find: The number of pounds of peanuts and walnuts Marcel buy.

Answer to Problem 15STP

The number of pounds of peanuts is : $3.5lbs$

The number of pounds of walnuts is : $2lbs$

Explanation of Solution

Given information:

Assume the number of pounds of peanuts is: $x$

Again, the number of pounds of walnuts is: $y$

The equations will be:

  $3.80(y+1.5)+5.60y=24.50$ ......... (1)

Also,

  $x=y+1.5$ .........(2)

Calculation:

Put the value of $x$ in equation (1) to get:

  $3.80(y+1.5)+5.60y=24.50$

  $3.80y+5.70+5.60y=24.50$

  $9.40y=24.50-5.70$

  $\frac{9.40y}{9.40}=\frac{18.80}{9.40}$

  $y=2$

Again from (2),

  $x=y+1.5$

  $\text{x}=2+1.5$

  $x=3.5$

Hence, the number of pounds of peanuts is : $3.5lbs$

Hence, the number of pounds of walnuts is : $2lbs$