i.
To identify: How the equations shown below relates to the problem and what does each variable represents? Also, it is given that fill nine 1-lb tins with a snack mix. You have $15 and buy almonds for $2.45 per lb, hazelnuts for $1.85 per lb, and raisins for $0.85 per lb. The mixture contains an equal number of almonds and hazelnuts and twice as much of the nuts as the raisins by weight.
x is the quantity of almonds required, y is the quantity of hazelnuts and z is the quantity of raisins required.
The equation
The equation
The equation
Given information:
It is given that fill nine 1-lb tins with a snack mix. You have $15 and buy almonds for $2.45 per lb, hazelnuts for $1.85 per lb, and raisins for $0.85 per lb. The mixture contains an equal number of almonds and hazelnuts and twice as much of the nuts as the raisins by weight.
Explanation:
Consider the given information.
Let x is the quantity of almonds required, y is the quantity of hazelnuts and z is the quantity of raisins required.
It is given that fill nine 1-lb tins with a snack mix.
Thus,
Also, spent $15 to buy almonds for $2.45 per lb, hazelnuts for $1.85 per lb, and raisins for $0.85 per lb.
This can be written as:
The mixture contains an equal number of almonds and hazelnuts and twice as much of the nuts as the raisins by weight.
This can be written as:
ii.
To calculate: The value of unknown variable if it is given that fill nine 1-lb tins with a snack mix. You have $15 and buy almonds for $2.45 per lb, hazelnuts for $1.85 per lb, and raisins for $0.85 per lb. The mixture contains an equal number of almonds and hazelnuts and twice as much of the nuts as the raisins by weight.
The required value is
Given information:
It is given that fill nine 1-lb tins with a snack mix. You have $15 and buy almonds for $2.45 per lb, hazelnuts for $1.85 per lb, and raisins for $0.85 per lb. The mixture contains an equal number of almonds and hazelnuts and twice as much of the nuts as the raisins by weight.
Explanation:
Consider the given information.
From the given information the system of equations is:
Write it into matrix form.
Now use Calculator to solve the equation.
Step 1: Press the 2ND key then press MATRX and select EDIT.
Step 2: Click 1 to access matrix A.
Step 3: Input the dimensions and enter the entries by pressing ENTER after each value.
Step 4: Press 2ND QUIT 2ND MATRX and select MATH.
Step 5: Click ALPHA B 2ND MATRX 1 ) .
Step 6: Now press ENTER.
The required value is
iii.
To identify: How each ingredient should buy if
Buy 2.5 lb of almonds, 3.5 lb of hazelnuts and 3 lb of raisin.
Given information:
The value of
Explanation:
Consider the given information.
From part (a) it is known that x is the quantity of almonds required, y is the quantity of hazelnuts and z is the quantity of raisins required.
From the part(b) it is known that
Thus, Buy 2.5 lb of almonds, 3.5 lb of hazelnuts and 3 lb of raisin to make nine-1lb tins with a snack mix.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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