Question

Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
One-sixth cups
Five-sixths cups
1 and two-thirds cups
1 and StartFraction 5 over 6 EndFraction cups

Answer 1

Question :

Patel squeezed oranges so that his family could have fresh squeezed juice for breakfast.

He squeezed (4/17) chose from the first orange, (3/10) cups from the second orange , (9/20) cups from the third orange, (3/11) cups from the fourth orange and (7/15) cups from the fifth orange.

Patek estimates that he needs 3 cups of orange juice for his family.

About how much more orange juice does he need to reach his estimate?

To find the amount of orange juice he needs to reach his estimate, let us first find out how much orange juice he squeezed till now from five oranges

That's

(4/17) + (3/10) + (9/20) + (3/11) + (7/15)

Lets find out the lcm of (17, 10, 20, 11, 15) .

That's 11220

>> 19351/11220

>> 1 [8131/11220 ]

Remaining amount of orange juice needed

>> 3 - 1( 8131/11220)

>> [ 3 × 11220 - 11220 - 8131 ]/11220

>> [ 2 × 11220 - 8131 ]/11220

>> (14309/11220)

>> 1 (1189/11220)

This is the required answer.

Answer 2

QUESTION :-

• Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?

TO FIND :-

• About how much more orange juice does he need to reach his estimate = ?

SOLUTION :-

step 1 :-

4/17 + 3/10 = 10 × 4 + 17 × 3 / 170 = 91/170

step 2 :-

91/170 + 9/20 = 2 × 91 + 17 × 9 / 340 = 335/340 = 67.5 / 68.5 = 67/68

step 3 :-

67 / 68 + 3/11 = 11 × 67 + 68 × 3 / 748 = 941/748

= 1 193/748

step 4 :-

1 193/748 + 7/15 = 941/ 748 + 7/15

= 15 × 941 + 748 × 7 / 11 220

= 19351 / 11 220 = 1 { 8131/11220}

step 5 :-

3 × 11220 - 11220 - 8131 / 11220

step 6 :-

2 × 11220 - 8131 /11220

step 7 :-

14309/11220

so, we have get :-

1 (1189/11220)