word problem workbench
. EXAMPLE PROBLEM
Clara has 15 pieces of fruit - some are apples and some are oranges.
Apples cost $0.2 each, oranges $0.5 each.
The total value of Clara's fruit is $4.50.
How many apples and how many oranges does Clara have?
OBJECTS call Apples OBJECT1 call Oranges OBJECT2
ATTRIBUTE1 [e.g. number, value, weight, density,...]
[in this example - Attribute1 is number]
call number(object1) X call number(object2) Y
Apples & Oranges are both what ?
Class: Fruit call number(class) N1
ATTRIBUTE2 [e.g. number, value, weight, density,...]
[in this example - Attribute2 is value]
call value(object1) p call value(object2) q
RELATION 1:
number(object1) + number(object2) = number(class) = N1
X + Y = N1
RELATION 2:
value(object1) x number(object1) + value(object2) x number(object2)=value(class)=N2
pX + qY = N2
Plot RELATION 1 and RELATION 2
- in the {attribute1, attribute2} plane - in this example {number,value} plane
- in the {object1, object2} plane - in this example {apples, oranges} plane
[see other examples in Modeling & Formulating section of MathMindHabits website]
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