One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 179.3 milligrams of vitamin C. Four eight-ounce glasses of juice and three eight-ounce glasses of orange juice contain a total of 632.1 milligrams of vitamin C. How much vitamin C is in an eight ounce glass of each type of juice?

8 ounces has = 2661.81685milligrams vitamin C in apple juice = 2.66181685 grams and 8 ounces has = 3549.60145milligrams vitamin C in orange juice =3.54960145 grams

Step-by-step explanation: 28.3495231 g = 1 ounce 28349.5231 mg = 1 ounce Therefore simultaneous equations can be done once converted What we will see is it is easier if back to ounces once you learn how to do scientific notation scientific notation convert as 1 ounce = 0.00632462mg = (6.32462 *10^-3) So if you are not confident with scientific notation you can instead convert an ounce of juice to mg and multiply by 1/8 = 28349.5231 * 1/8 = 3543.69039 a and 3543.69039 o to start a simultaneous equation 3543.69039 a + 3543.69039 o = 179.3 and 4/8 = 4 * 3543.69039 = 14174.7616o ( + 3543.69039 * 3 (of 3/8) ) =10631.0712a = 14174.7616o + 10631.0712a = 632.1 to cancel out 10631.0712a we have to make a = a or o=o Therefore 3543.69039 = o 3543.69039 * 4 will make all equal for equation 1 = 14174.7616a +14174.7616o = 179.3 *4 = 717.2 then subtract equation 2 as it is lower now 14174.7616a +14174.7616o = 179.3 *4 = 717.2 - 14174.7616a + 10631.0712o = 632.1 cancels out ( a) now to show 14174.7616o = 717.2 - 10631.0712o = 632.1 = 14174.7616 - 10631.0712= (3543.6904o = (717.2 -632.1) ) = 3543.6904o = 85.1 o = 3543.6904/85.1 o = 41.6414853milligrams and a = input for o showing original equation 14174.7616 (41.6414853) + 10631.0712a = 632.1 = 590258.127 + 10631.0712a = 632.1 = 10631.0712a = (632.1 - 590258.127) = a = -589626.027/ 10631.0712 = -55.4625226 a= - 55.6 and o =41.6 we then Check other SEQ 3543.69039 ( 41.6414853) (For apple juice (a)) + 3543.69039 o = 179.3 = 147564.531 a + 3543.69039 o = 179.3 = 3543.69039 o = 179.3 - 147564.531 (/3543.69039) = o = -41.5908882 so proves all is positive Check other SEQ 3543.69039 + 3543.69039 ( 41.6414853) = 179.3 is the same and correct to o= 41.5908882 and a =55.4625226 we just multiply these by 8 and 8 again to get 8 ounces 41.5908882 * 8 =332.727106* 8 =2661.81685 (same as (a*64) and o*8*8 = 55.4625226 * 8 =443.700181 * 8 =3549.60145 and we have our answer s vitamin C in apple juice = 2661.81685milligrams = 2.66181685 g and vitamin C in orange juice = =3549.60145milligrams = 3.54960145g