Chapter ISG, Problem 6.3.9P

i.

To determine

To write a system of equation.

Answer to Problem 6.3.9P

The system of equations are:

  $\begin{array}{l}12x+16y=96\\ 12x+3(16y)=192\end{array}$

Explanation of Solution

Given information:

Spring mix	12 tulips
Garden delight	16 tulips

Number of tulip used on Monday= 96

Number of tulip used on Tuesday=192

Calculation:

Let number of spring mix be $x$ and garden delight be $y$ .

According to question,

On Monday,

  $12x+16y=96$   -(1)

On Tuesday,

  $12x+3(16y)=192$  -(2)

These are the system of equations.

ii.

To determine

To find the total number of tulips

Answer to Problem 6.3.9P

Number of spring mix made is 4 and number of garden delight made is 3 on Monday. 4 spring mix are made on Tuesday and 9 garden delight were made on tueday.

Explanation of Solution

Given information:

Spring mix	12 tulips
Garden delight	16 tulips

Calculation:

Equations are:

  $12x+16y=96$   -(1) and

  $12x+3(16y)=192$   -(2)

Taking (1)

  $12x=96-16y$

Put x in (2)

  $(96-16y)+3(16y)=192$

Solving,

  $\begin{array}{l}96+32y=192\\ 32y=192-96\end{array}$

So,

  $32y=96$

Dividing by 32,

  $y=3$

Put value of y in (1)

  $12x+16(3)=96$

Solving,

  $12x=96-48$

So,

  $12x=48$

Dividing by 12,

  $x=4$

Hence, number of spring mix made is 4 and number of garden delight made is 3 on Monday. Also,

Number of spring mix made on Tuesday is 4 and number of garden delight is 9