anonymous one year ago .80+.40=12.8 c+t=24 what is c

1. anonymous

what do I do from here @pinkbubbles

2. anonymous

here's the word problem Alex stocks up for winter. He buys 24 cans of vegetables. He pays 80 cents per can for tomatos and 40 cents per can for corn, for a total cost of \$12.8

3. anonymous

$\text{Solve}[\{0.8 c+0.4 t=12.8,c+t=24\}]$Work it out. c should equal 8 .

4. anonymous

but how do I work it out

5. anonymous

c + t =24, thus, t = 24 - c Plug 24-c for each occurrance of t in the first equation and solve the result for c.

6. anonymous

so then it would be 3?

7. anonymous

Sorry, occurrance should have been spelled, occurrence.

8. anonymous

so u said that c would equal 8 then wouldn't t equal 3

9. anonymous

0.4 (24 - c) + 0.8 c = 12.8 0.8 c - 0.4 c + 9.6 =12.8

10. anonymous

so what do I do next

11. anonymous

0.4 c = 12.8 - 9.6 0.4 c = 3.2 c = 8

12. anonymous

so how did u get 9.6

13. anonymous

so is 8 the answer or the value of c

14. anonymous

0.4 (24 - c) + 0.8 c = 12.8 9.6 + 0.8 c = 12.8

15. anonymous

"so is 8 the answer or the value of c ? " Yes.

16. anonymous

so the answer would be 16 right