Before it started to rain, Bobby cut 18
of the grass in his yard and Danny cut 15
of the grass in the yard. Both boys were disappointed because they were not able to cut the entire yard.
Which statement is TRUE?
Responses
A Together the boys didn't even cut half the yard.Together the boys didn't even cut half the yard.
B The boys were able to cut more than half the yard.The boys were able to cut more than half the yard.
C The boys cut almost three-fourths of the yard.The boys cut almost three-fourths of the yard.
D Together the boys cut almost the entire yard.Together the boys cut almost the entire yard.
A Together the boys didn't even cut half the yard.Together the boys didn't even cut half the yard.
To find the total amount of grass cut by Bobby and Danny, we need to add the fractions of grass they each cut.
Bobby cut 1/8 of the grass (18/100) and Danny cut 1/5 of the grass (15/100).
To add these fractions, we need to find a common denominator. The common denominator of 8 and 5 is 40.
Converting the fractions to have a denominator of 40:
Bobby cut (1/8) * (5/5) = 5/40
Danny cut (1/5) * (8/8) = 8/40
Adding the fractions together:
5/40 + 8/40 = 13/40
Therefore, together, Bobby and Danny cut 13/40 of the grass in the yard.
Since 13/40 is less than half (20/40), the statement "Together the boys didn't even cut half the yard" is true.
So, the correct answer is A.