<u><em>Answer</em></u>
<u><em>Explanation</em></u>
Based on the given conditions, formulate::
Substitute into ::
Rearrange variables to the left side of the equation:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Cross out the common factor:
Weight=smallertotalweight+largertotalweight
smallertotalweight=weight times how many
largertotalweight=weight times how many
lets call them s and l
smaller and larger
650=50s+75l
and
550=100s+25l
simplfiy the m all by dividing by 5
130=10s+15l
110=20s+5l
divide by 5 again
26=2s+3l
22=4s+l
we can eliminate the s's
multiply first equatn by -2 and add to first
22=4s+l
<u>-52=-4s-6l +</u>
-30=0s-5l
-30=-5l
divide both sides by -5
6=l
input back
22=4s+l
22=4s+6
minus 6
16=4s
divide 4
4=s
each smaller model weighs 4 pounds
larger weighs 6 pounds
Answer:
23 child tickets were sold
Step-by-step explanation:
Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:
5.20x + 9.70(3x) = 788.90
Simplify 5.20x + 29.1x = 788.90
Combine like terms: 34.3x = 788.90
Divide both sides by 34.3: x = 23 child tickets
Answer:
3.3 is 3.29 rounded to the nearest 10th because nine is greater than 5 so it increases.