MATH!!!!!!! URGENT!!!!!!!!!!!!!!!

Question

Starbucks sells lattes for $4 & cappuccinos for $3. Last Friday, the sales totaled $252. If the number of lattes sold was 6 more than 4 times of the number of cappuccinos, how many lattes were sold? Use systems of equations to solve, either substitution or elimination. Explain why you chose to use the method you chose & why

Answer 1

4L + 3C = 252

L = 4C+6

4(4C+6) + 3C = 252

16C +24 + 3C = 252

19C = 252-24 = 228

C = 228/19 = 12 cappuccinos

L = 4(12) + 6 = 48+6 = 54 lattes

the problem is sort of set up to use substitution. It gives you L in terms of S, so substitute the given value of L in terms of S. Trying to eliminate by adding or subtracting equations would require more work as you'd have to multiply the 2nd equation by 4. 4L = 16C+24 then rewrite it as

4L-16C = 24 subtract that from the 1st equation 4L+3C = 252 to get

19C = 228

C=228/19 = 12

but either method works, with minimal work