Question

Box A contains 10 pens that are either red or blue in colour. Box B contains 23 pens that are also either red or blue in colour. The number of blue pens in Box B is twice the number of blue pens in Box A while the number of red pens in Box B is thrice the number of red pens in Box A. Write a pair of linear equations using b as the number of blue pens in Box A and r as the number of red pens in Box A.

Answer 1

To write a pair of linear equations using b as the number of blue pens in Box A and r as the number of red pens in Box A, one equation is b + 2b = 23 and the other is r + 3r = 10.

Step-by-step explanation:

To write a pair of linear equations using b as the number of blue pens in Box A and r as the number of red pens in Box A, we can use the information given in the question:

The number of blue pens in Box B is twice the number of blue pens in Box A, so we have the equation: b + 2b = 23

The number of red pens in Box B is thrice the number of red pens in Box A, so we have the equation: r + 3r = 10

Answer 2

b + r = 10 - - (1)

2r + 3b = 23 - - (2)

Step-by-step explanation:

Number of Blue pens in box A = b

Number of red pens in box A = r

BOX A :

Contains 10 pens that are either red or blue

b + r = 10

BOX B:

Contains 23 pens that are either red or blue ;

Red pens in box B = 2 tines the number of red pens in box A

Blue pens in box B = 3 times the number of blue pens in box A

2r + 3b = 23