Question

Liz purchased three trays of tomato plants for $16.47. She also bought ten trays of basil plants. If the ratio of the price per tray of tomato plants to the price per tray of basil plants is 3 to 2, then how much did she spend in total for all the plants? Write and solve a proportion.

Please help! Tysm <3

Answer 1

Explanation:

Start by creating expressions

t= A tray of tomato plants

3t = $16.47

Solve the equation above

3t/3= 16.47/3

t= 5.49

A tray of tomato plants costs $5.47

Now create the ratios

b= A tray of basil plants

t:b = 3:2

Substitute t

5.49:b = 3:2

Rewrite as fractions

`(5.49)/(b)` =
`(3)/(2)`

Cross multiply

5.49(2) = 3(b)

10.98 = 3b

10.98/3 = 3b/3

3.66 = b

A tray of basil plants costs $3.66

In total she bought 3 trays of tomato plants, which cost $16.47, and 10 trays of basil plants

T0 find out the cost of the 10 basil plants, multiply 3.66 by 10

3.66 × 10 = 36.6

She bought 10 trays of basil plants for $36.60 and 3 trays of tomato plants for $16.47

Add the 2 values together

36.60+16.47 = 53.07

$53.07 is the total

I hope this helps!!!