65) A school wants to award its students for the values of Honesty, Regularity and Hard work with a total cash award of ` 6,000. Three times the award money for Hardwork added to that given for honesty amounts to 11,000. The award money given for Honesty and Hardwork together is double the one given for Regularity. Represent the above situation algebraically and find the award money for each value, using matrix method. Apart from these values, namely, Honesty, Regularity and Hardwork, suggest one more value which the school must include for awards.
