Question

Mr. Akika has 46 20 -cent and 30-cent stamps all together. The stamps are worth $11.90. How many of each kind of stamp does he have?

Answer 1

Answer:

Step-by-step explanation:

Let x be 20-cent stamps & y be 30-cent stamps

Total stamps = 46

x + y = 46  -----------------------(I)

Total worth = $ 11.90

0.2x +0.3y = 11.90   -------------------(II)

Multiply equation (I) by (-0.2)

(I)*(-0.2)         -0.2x - 0.2y = -9.2

(II)                   0.2x + 0.3y = 11.90       {Now, add and  x will be eliminated}

                                 0.1y = 2.70

$y=\frac{2.70}{0.1}$

y = 27

Plugin the value of y in equation (I)

x + 27 = 46

x = 46 - 27

x = 19

Number of 20-cent stamps = 19

Number of 30-cent stamps = 27