Raheem makes baskets and mats.
Each week he makes x baskets and y mats.
He makes fewer than 10 mats.
The number of mats he makes is greater than or equal to the number of baskets he makes.
(a) One of the inequalities that shows this information is y 1 10.
Write down the other inequality.
................................................. [1]
(b) He takes 2 4
1 hours to make a basket and 1 2
1 hours to make a mat.
Each week he works for a maximum of 22.5 hours.
Show that 3 2 x y + G 30.
Answers
Given : Raheem makes baskets and mats. Each week he makes x baskets and y mats. He makes fewer than 10 mats.
The number of mats he makes is greater than or equal to the number of baskets he makes.
One of the inequalities that shows this information is y < 10
To Find : Write down the other inequality.
Solution:
mats he makes is greater than or equal to the number of baskets he makes.
Mats = y
baskets = x
=> x ≤ y
takes 2 1/4 hours to make a basket
takes 1 1 /2 hours to make a mat
=> (2 1/4)x + (1 1/2)y ≤ 22.5
=> 9x/4 + 3y/2 ≤ 22.5
=> 9x + 6y ≤ 90 ( multiplying both sides by 4)
=> 3x + 2y ≤ 30 ( Dividing both sides by 3)
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