Question

Kori bought 56 boxes of tiles from the home improvement store, which was StartFraction 4 over 7 EndFraction of the total number of boxes that they had. How many boxes of tiles did the store have?

Answer 1

98 boxes of tiles

Explanation:

Let y represent the total number of boxes the store had

The 56 boxes of tiles is 4/ 7 of the total number of boxes the store had

NB : " Of " in the question means multiplication

Step 1 : Write the equation

Therefore,

56 = 4/ 7 × y

Step 2 : Then multiply both sides of the equation by the denominator, which is 7. So,

7 × 56 = 7 × 4/ 7 × y

Step 3 : Cancel out the denominator 7 with the other 7, making the equation ;

7 × 56 = 4 × y

Step 4 : Multiply both sides of the equation

392 = 4y

Step 5 : Divide both sides of the equation by 4

392/ 4 = 4y / 4

Step 6 : Cancel out the 2 "fours" with each other

392 / 4 = y

Step 7 : Divide 392 by 4, which is 98

98 = y