Question

Pedro sliced 27 cakes. Each chocolate cake had 7 slices and each lemon cake had 6 slices. If Pedro made 170 slices in total, how many of each type of cake did he slice?

Answer 1

Explanation:

Let number of chocolate cakes = c

Number of lemon cakes = l

Total cakes = 27

c + l = 27 ---------------(I)

Total slices = 170

7c + 6l = 170 ---------------(II)

Multiply equation (i) by (-7) and then add. So, c will be eliminated and we can find the value of l

(I) * (-7) -7c - 7l = -189

(II) 7c + 6l = 170 {Now add}

- l = -19

l = 19

Plugin l = 19 in equation (I)

c + 19 = 27

c = 27 - 19

c = 8

Number of chocolate cakes = 8

Number of lemon cakes = 19