Respuesta :

Answer:

Cost of small box of oranges = 7

Cost of small box of oranges = 13

Step-by-step explanation:

Step 1)  Let the cost of small box of oranges = x

Let the cost of small box of oranges = y

Step 2)

Equation 1) Matt sells 3 small boxes and 14 large boxes for Php. 203

3x + 14y = 203 -------------------(I)

Equation 2) Ming sells 11 small boxes and 11 large boxes for Php. 220

11x + 11y = 220 ----------------(II)

Step 3:

Multiply equation (I) by 11 and equation (II) by (-3).

(I)*11              33x + 154y =  2233

(II)*(-3)         -33x - 33y = -660            {Now add and x will be eliminated}

                           121y  = 1573

                               y = 1573/121

y = 13

Substitute y = 13 in equation (II)

11x + 11*13 = 220

11x + 143 = 220

        11x = 220 - 143

        11x = 77

          x = 77/11

x = 7