Question

7 mangos and 6 pears are $12.50 and 5 mangos and 8 pears are$14.50 what is the cost of one mango and one pear

Answer 1

Answer:

1 mango =$ 3.50/7

1 pear = $1.5

Step-by-step explanation:

let 1 mango and 1 pear be x and y respectively.

7x +6y =12.50

5x +8y=14.50

7x=12.50 -6y

x=12.50 -6y/7

5x +8y =14.50

5( 12.50 -6y /7) +8y=14.50

62.50 -30y/7 +8y=14.50

taking LCM

Multiplying by LCM

62.50 -30y/7*7 +8y*7=14.50*7

62.50 -30y +56y=101.5

-30y + 56y = 101.50 -62.50

26y =39

y= 39/26

y=1.5

x=12.50-6y/7

x=12.50-6*1.5/7

x= 12.50-9/7

x=3.50/7

verification -

7mangoes +6pears = $12.50

7*3.50/7 +6*1.5 = $12.50

3.50+9 = $12.50

12.50 = $12.50

1 mango = $3.50/7

1pear =$1.5