Jimmy and Ted each improved their yards by planting daylilies and shrubs. They brought theurbsupplies from the same store. Jimmy spent $80 on 4 daylilies and 9 shrubs. Ted spent $148 on daylillies and 4 of shrubs. What is the cost of one daylily and the cost of one shrub?

Question

contestada

Respuesta :

prachidhruw07 prachidhruw07 · Answer 1 · 2021-10-10T19:10:36+02:00

Step-by-step explanation:

given,

JIMMY bought,

no. of daylillies = 4

no. of shrubs = 9

total cost of all material he bought = $80

TED bought,

no. of daylillies = 12

no. of shrubs = 4

total cost of all material he bought = $148

let daylillies be x and shrubs be y

the equation is,

4x + 9y = $80 -----------(1)

12x + 4y = $148 -----------(2)

now, multiply (1) by 3 we got,

12x + 27y = $240 -----------(3)

now, subtract (2) from (3) we got,

23y = 92

→ y = 92/23 = 4

→ y = 4

therefore cost of shrubs are $4.

so, cost of daylillies,

→ 12x + 4(4) = 148

→ 12x = 148 - 16 = 132

→ x = 132/12 = 11

→ x = 11

Hence, cost of daylillies are $11 and shrubs are $4.

hope this answer helps you dear......take care and may u have a great day ahead!