Question

for a school project, layla makes a paste made from only two ingredients: flour and water. the ratio table shows the relationship between the number of cups of flour and the total number of cups of paste she can make. what is the ratio of flour to water in the paste?
paste mixture
cups of flour | cups of paste
3 | 4
6 | 8
9 | 12
12 | 16
1:3
3:4
4:3
3:1

Explanation:

Step1: Find cups of water

Paste = Flour + Water, so Water = Paste - Flour. For first row: 4 - 3 = 1? Wait, no, wait. Wait, first row: flour is 3, paste is 4. So water is 4 - 3 = 1? Wait, no, that can't be. Wait, maybe I miscalculated. Wait, 3 flour, 4 paste. So water is 4 - 3 = 1? But then ratio flour to water would be 3:1? Wait, no, wait the options. Wait, let's check the ratio of flour to paste first. Flour: 3, paste:4. So flour is 3, paste is 4. But paste is flour + water. So water is paste - flour. So for 3 flour, paste 4, water is 1. So flour:water = 3:1? Wait, but the options have 3:1. Wait, but let's check another row. 6 flour, 8 paste. Water is 8 - 6 = 2. So flour:water = 6:2 = 3:1. Oh! So that's consistent. Wait, but wait the question is ratio of flour to water. So flour is 3, water is 1 (from first row: 3 flour, 4 paste, so water is 4-3=1). So 3:1. Wait, but let's check the options. The options are 1:3, 3:4, 4:3, 3:1. So 3:1 is an option. Wait, but wait maybe I made a mistake. Wait, the ratio of flour to paste is 3:4, but flour to water: since paste is flour + water, so water = paste - flour. So for each row, flour is 3,6,9,12; paste is 4,8,12,16. So water is 1,2,3,4. So flour:water is 3:1, 6:2=3:1, 9:3=3:1, 12:4=3:1. So the ratio is 3:1.

Step2: Confirm the ratio

Check all rows:

• Row 1: Flour=3, Water=4-3=1 → 3:1
• Row 2: Flour=6, Water=8-6=2 → 6:2=3:1
• Row 3: Flour=9, Water=12-9=3 → 9:3=3:1
• Row 4: Flour=12, Water=16-12=4 → 12:4=3:1

So the ratio of flour to water is 3:1.

Answer:

D. 3:1 (assuming the last option is D, but in the given options, the last one is 3:1. So the correct option is the one with 3:1, which is the last option: 3:1)