Question

er School: Practice & Problem Solving 5.2.PS-16 Question Help A teacher kept track of what students consumed at a school picnic. For three grades, the ratios of the amount of water consumed to the amount of fruit juice consumed were equivalent. Complete the table. Grade Water (gallons) Juice (gallons) 5th 3 5 6th 18 7th 12 Water Juice Grade (gallons) (gallons) 5th 3 5 6th 18 Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All Check Answer Review progress Question 5 of 12 Back Next →

Answer 1

Since the ratios are equivalent

Then,

3/5 = 18/ x

18/12 = x/ y

x represents the gallons of juice consumed for 6th grade

y represents the gallons of juice consumed for 7th grade

`\begin{gathered} (3)/(5)=(18)/(x) \\ \text{cross multiply } \\ 3x\text{ = 18 }*5 \\ 3x\text{ = 90} \\ (3x)/(3)=(90)/(3) \\ x=\text{ 30} \end{gathered}`

For the 6th grade 30 gallons of juice was consumed

`\begin{gathered} (18)/(12)=\text{ }(x)/(y) \\ (18)/(12)=(30)/(y) \\ \text{cross multiply} \\ (18y)/(18)=(30*12)/(18) \\ y=(360)/(18)=\text{ 20} \end{gathered}`

Thus, for 7th grade 20 gallons of juice was consumed