date: MAY 2TH
topic: SYSTEM OF LINEAR EQUATIONS.
Problem 1: Ages
Ana's age is twice her brother Juan's age.
Five years ago, the sum of their ages was 30 years. How old are Ana and Juan
now?
Suggested setup:
Let x be Juan's age and y be Ana's age.
Equations:
y = 2x
(x - 5) + (y - 5) = 30
Problem 2: Purchases
Carlos bought 3 notebooks and 2 pencils for
$8,000. Ana bought 2 notebooks and 4 pencils for $7,200. What is the price of
one notebook and one pencil?
Suggested setup:
Let x be the price of a notebook and y the price of a pencil.
Equations:
3x + 2y = 8000
2x + 4y = 7200
Problem 3: Animals
On a farm, there are chickens and pigs. In
total, there are 30 animals and 80 legs. How many chickens and how many pigs
are there?
Suggested setup:
Let x be the number of chickens (2 legs) and y the number of pigs (4 legs).
Equations:
x + y = 30
2x + 4y = 80
Problem 4:
In a
corral there are chickens and rabbits. There are 35 heads and 94 legs. How many
chickens and how many rabbits are there?
Problem 5:
A movie
theater sells tickets for adults at $12,000 and for children at $8,000. In one performance,
120 tickets were sold and $1,160,000 were raised. How many tickets of each type
were sold?
date: MAY 2TH
topic: SYSTEM OF LINEAR EQUATIONS.
ππSYSTEM OF LINEAR EQUATIONSππ
date: april 11th
topic: worksheet
date: MARCH 14th
topic: LINEAR INEQUATIONS
date: FEBRUARY 21ST
topic: PRE-ALGEBRA
CONTENTS OF THE FIRST term
NINTH GRADE