Question

scheme a gives an increase of 6% for their employees monthly wage scheme b gives an increase of 4.5 % of their monthly wage plus an extra of $50 every month sharon finds her monthly wage same under both schemes what is her monthly wage

Answer 1

3,333.33

Explanation:

Let Sharon's wage be represented with x

Sharon's wage under scheme a = 0.06x + x

Sharon's wage under scheme b = 0.045x + x + 50

If her wage is equal under both schemes, the two schemes are equal in value and can be equated to find her wage

0.045x + x + 50 = 0.06x + x

1.06x = 1.045x + 50

Collect like terms

1.06x - 1.045x = 50

0.015x = 50

x = $3,333.33