# Question

Miss Lee had a certain number of muffins and cupcakes in her shop. If Miss Lee sold 60 muffins and 30 cupcakes each day, she would have 300 muffins left by the time she finished selling all her cupcakes.

If Miss Lee sold 30 muffins and 60 cupcakes each day, Miss Lee would have 930 muffins left by the time she finished selling all her cupcakes.

Find the total number of muffins and cupcakes Miss Lee had in her shop

ans: 1560

0 Replies 2 Likes ✔Accepted Answer

Method 1 :

Scenario 1 : If Miss Lee sold 60 muffins and 30 cupcakes each day,

muffins, 1u + 1u + 300 = 2u + 300

cupcakes : 1u

Scenario 2 :  If Miss Lee sold 30 muffins and 60 cupcakes each day,

muffins, 1p + 930

cupcakes : 2p

2u + 300 ——- 1p + 930

2u – 1p ——- 930 – 300 = 630

1u ——- 2p

2 x 2p – 1p = 3p ——- 630

1p + 930 + 2p = 3p + 930 ——- 630 + 930 = 1560

Method 2 :

Scenario 1 : If Miss Lee sold 60 muffins and 30 cupcakes each day,

muffins, 60, 120, 180, … 300

cupcakes : 30, 60, 90, … 0

Scenario 2 :  If Miss Lee sold 30 muffins and 60 cupcakes each day,

muffins, 30, 60, 90, .. 930

cupcakes : 60, 90, 120 … 0

60u + 300 ——- 30p + 930

6u – 3p ——- 93 – 30 = 63

2u – 1p ——- 21

30u ——- 60p

1u ——- 2p

2 x 2p – 1p = 3p ——- 21

1p ——- 21/3 = 7

30p + 930 ——- 30 x 7 + 930 = 1140 (muffins)

60p ——- 60 x 7 = 420 (cupcakes)

420 + 1140 = 1560

Ans : 1560 muffins and cupcakes.

0 Replies 0 Likes