4) A bag of sweets has orange and red sweets in the ratio 2:3. The number of red sweets is 51. Solomon eats some orange sweets. The ratio changes to 10:17.
How many sweets did Solomon eat?

30

Step-by-step explanation:

17*3 = 51

10*3 = 30

Solomon ate 4 sweets

Step-by-step explanation:

fraction of red sweets =3/5 of s,

where s is total number of sweets

51=3/5*s

51*5=3s

255=3s

s=255/3

s=85

85-51=34

there were 34 orange sweets

now there is

17/27=51/s

fraction of red sweets where s is total number of sweets

17s=51*27

17s=1377

s=1377/17

s=81

85-81=4

Solomon ate 4 orange sweets

28

step-by-step explanation:

8+8+6+6