Question

If Austin works for 1 full hour, he can mow his yard and 1/4 of his neighbors yard. Assuming the 2 yards are the same size, how many yards can he mow in 2/3 hours? Solve pictorially.

Answer 1

Austin can mow 5/6 of a yard in 2/3 of an hour. This is determined by multiplying the amount he mows in one hour (1 1/4 yards) by 2/3.

Step-by-step explanation:

To solve this pictorially, let's represent one full yard with a rectangle. If Austin can mow his own yard plus one-quarter of his neighbor's yard in one hour, we can divide the rectangle into four equal parts to represent the neighbor's yard. Austin mows one full rectangle (his yard) plus one of these four parts (1/4 of the neighbor's) in one hour.

For 2/3 of an hour, we want to know how much he can mow. Since we know that 1 hour is equal to mowing 1 1/4 yards, to find out how much he can mow in 2/3 of an hour, we need to multiply 1 1/4 by 2/3:

• 1 yard (his yard) + 1/4 yard (part of neighbor's) = 5/4 yards
• (5/4) yards × (2/3) hours = (5/4 × 2/3) yards
• (5/4 × 2/3) yards = (10/12) yards
• (10/12) yards can be simplified to (5/6) yards

So, Austin can mow 5/6 of a yard in 2/3 of an hour.